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141022022313040 = 24511239837087987
BaseRepresentation
bin100000000100001000111111…
…100010111010010001010000
3200111022120111012112101021221
4200010020333202322101100
5121441001100203004130
61215532342300054424
741463335114435311
oct4004107742722120
9614276435471257
10141022022313040
1140a30116182950
1213997019b34414
13608c4203413ab
1426b7706442608
15114848e2dc87a
hex80423f8ba450

141022022313040 has 160 divisors (see below), whose sum is σ = 373614311725056. Its totient is φ = 49001231854080.

The previous prime is 141022022313037. The next prime is 141022022313047. The reversal of 141022022313040 is 40313220220141.

It is a junction number, because it is equal to n+sod(n) for n = 141022022312996 and 141022022313014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141022022313047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16351927 + ... + 23439913.

Almost surely, 2141022022313040 is an apocalyptic number.

141022022313040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141022022313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186807155862528).

141022022313040 is an abundant number, since it is smaller than the sum of its proper divisors (232592289412016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141022022313040 is a wasteful number, since it uses less digits than its factorization.

141022022313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7089017 (or 7089011 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 141022022313040 its reverse (40313220220141), we get a palindrome (181335242533181).

The spelling of 141022022313040 in words is "one hundred forty-one trillion, twenty-two billion, twenty-two million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 220 230 253 368 440 460 506 880 920 983 1012 1265 1840 1966 2024 2530 3932 4048 4915 5060 7864 9830 10120 10813 15728 19660 20240 21626 22609 39320 43252 45218 54065 78640 86504 90436 108130 113045 173008 180872 216260 226090 248699 361744 432520 452180 497398 865040 904360 994796 1243495 1808720 1989592 2486990 3979184 4973980 7087987 9947960 14175974 19895920 28351948 35439935 56703896 70879870 77967857 113407792 141759740 155935714 163023701 283519480 311871428 326047402 389839285 567038960 623742856 652094804 779678570 815118505 1247485712 1304189608 1559357140 1630237010 1793260711 2608379216 3118714280 3260474020 3586521422 6237428560 6520948040 6967491221 7173042844 8966303555 13041896080 13934982442 14346085688 17932607110 27869964884 28692171376 34837456105 35865214220 55739929768 69674912210 71730428440 76642403431 111479859536 139349824420 143460856880 153284806862 160252298083 278699648840 306569613724 320504596166 383212017155 557399297680 613139227448 641009192332 766424034310 801261490415 1226278454896 1282018384664 1532848068620 1602522980830 1762775278913 2564036769328 3065696137240 3205045961660 3525550557826 6131392274480 6410091923320 7051101115652 8813876394565 12820183846640 14102202231304 17627752789130 28204404462608 35255505578260 70511011156520 141022022313040