Search a number
-
+
141134717600 = 25522953114781
BaseRepresentation
bin1000001101110001001…
…0001110001010100000
3111111021220212111122222
42003130102032022200
54303020441430400
6144500354450212
713124310206612
oct2033422161240
9444256774588
10141134717600
1154944961288
1223429893968
13104029aa026
146b8c206db2
153a10664185
hex20dc48e2a0

141134717600 has 144 divisors (see below), whose sum is σ = 363154178520. Its totient is φ = 53478297600.

The previous prime is 141134717597. The next prime is 141134717617. The reversal of 141134717600 is 6717431141.

It can be written as a sum of positive squares in 12 ways, for example, as 8271376 + 141126446224 = 2876^2 + 375668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1172210 + ... + 1286990.

Almost surely, 2141134717600 is an apocalyptic number.

141134717600 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 141134717600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181577089260).

141134717600 is an abundant number, since it is smaller than the sum of its proper divisors (222019460920).

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

141134717600 is a wasteful number, since it uses less digits than its factorization.

141134717600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114883 (or 114870 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 141134717600 in words is "one hundred forty-one billion, one hundred thirty-four million, seven hundred seventeen thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 53 58 80 100 106 116 145 160 200 212 232 265 290 400 424 464 530 580 725 800 848 928 1060 1160 1325 1450 1537 1696 2120 2320 2650 2900 3074 4240 4640 5300 5800 6148 7685 8480 10600 11600 12296 15370 21200 23200 24592 30740 38425 42400 49184 61480 76850 114781 122960 153700 229562 245920 307400 459124 573905 614800 918248 1147810 1229600 1836496 2295620 2869525 3328649 3672992 4591240 5739050 6083393 6657298 9182480 11478100 12166786 13314596 16643245 18364960 22956200 24333572 26629192 30416965 33286490 45912400 48667144 53258384 60833930 66572980 83216225 91824800 97334288 106516768 121667860 133145960 152084825 166432450 176418397 194668576 243335720 266291920 304169650 332864900 352836794 486671440 532583840 608339300 665729800 705673588 882091985 973342880 1216678600 1331459600 1411347176 1764183970 2433357200 2662919200 2822694352 3528367940 4410459925 4866714400 5645388704 7056735880 8820919850 14113471760 17641839700 28226943520 35283679400 70567358800 141134717600