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141202020400040 = 23543829247739979
BaseRepresentation
bin100000000110110000101000…
…010001000111101110101000
3200111221210002120200121101202
4200012300220101013232220
5122001423214210300130
61220151151311503332
741512336461100205
oct4006605021075650
9614853076617352
10141202020400040
1140a9a493428836
1213a05a92b27b48
1360a33a7765c92
1426c22ddca0cac
15114cec6769145
hex806c28447ba8

141202020400040 has 128 divisors (see below), whose sum is σ = 325624722192000. Its totient is φ = 55077131547648.

The previous prime is 141202020400039. The next prime is 141202020400087. The reversal of 141202020400040 is 40004020202141.

141202020400040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 141202020399985 and 141202020400021.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3531884771 + ... + 3531924749.

It is an arithmetic number, because the mean of its divisors is an integer number (2543943142125).

Almost surely, 2141202020400040 is an apocalyptic number.

141202020400040 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 141202020400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162812361096000).

141202020400040 is an abundant number, since it is smaller than the sum of its proper divisors (184422701791960).

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

141202020400040 is a wasteful number, since it uses less digits than its factorization.

141202020400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43339 (or 43335 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 141202020400040 its reverse (40004020202141), we get a palindrome (181206040602181).

The spelling of 141202020400040 in words is "one hundred forty-one trillion, two hundred two billion, twenty million, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 829 860 1658 1720 2477 3316 4145 4954 6632 8290 9908 12385 16580 19816 24770 33160 35647 39979 49540 71294 79958 99080 106511 142588 159916 178235 199895 213022 285176 319832 356470 399790 426044 532555 712940 799580 852088 1065110 1425880 1599160 1719097 2053433 2130220 3438194 4106866 4260440 6876388 8213732 8595485 10267165 13752776 16427464 17190970 20534330 33142591 34381940 41068660 66285182 68763880 82137320 88297619 99027983 132570364 165712955 176595238 198055966 265140728 331425910 353190476 396111932 441488095 495139915 662851820 706380952 792223864 882976190 990279830 1325703640 1425131413 1765952380 1980559660 2850262826 3531904760 3961119320 4258203269 5700525652 7125657065 8516406538 11401051304 14251314130 17032813076 21291016345 28502628260 34065626152 42582032690 57005256520 82094197907 85164065380 164188395814 170328130760 328376791628 410470989535 656753583256 820941979070 1641883958140 3283767916280 3530050510001 7060101020002 14120202040004 17650252550005 28240404080008 35300505100010 70601010200020 141202020400040