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131201202400440 = 23354156347365739
BaseRepresentation
bin11101110101001110101001…
…000100000010110010111000
3122012112201020101020200001220
4131311032221010002302320
5114144100030303303230
61143013000022112040
736430655050511244
oct3565165104026270
9565481211220056
10131201202400440
113889413238a597
121286b80927b620
1358292b2cc4b33
14245825a27d424
151027c9eae5d10
hex7753a9102cb8

131201202400440 has 128 divisors (see below), whose sum is σ = 403919873683200. Its totient is φ = 34073017287680.

The previous prime is 131201202400381. The next prime is 131201202400507. The reversal of 131201202400440 is 44004202102131.

It is a super-2 number, since 2×1312012024004402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131201202400440.

It is a congruent number.

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, 20912910 + ... + 26452829.

It is an arithmetic number, because the mean of its divisors is an integer number (3155624013150).

Almost surely, 2131201202400440 is an apocalyptic number.

131201202400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131201202400440 is an abundant number, since it is smaller than the sum of its proper divisors (272718671282760).

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

131201202400440 is a wasteful number, since it uses less digits than its factorization.

131201202400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47366357 (or 47366353 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 131201202400440 its reverse (44004202102131), we get a palindrome (175205404502571).

The spelling of 131201202400440 in words is "one hundred thirty-one trillion, two hundred one billion, two hundred two million, four hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 563 615 820 984 1126 1230 1640 1689 2252 2460 2815 3378 4504 4920 5630 6756 8445 11260 13512 16890 22520 23083 33780 46166 67560 69249 92332 115415 138498 184664 230830 276996 346245 461660 553992 692490 923320 1384980 2769960 47365739 94731478 142097217 189462956 236828695 284194434 378925912 473657390 568388868 710486085 947314780 1136777736 1420972170 1894629560 1941995299 2841944340 3883990598 5683888680 5825985897 7767981196 9709976495 11651971794 15535962392 19419952990 23303943588 26666911057 29129929485 38839905980 46607887176 53333822114 58259858970 77679811960 80000733171 106667644228 116519717940 133334555285 160001466342 213335288456 233039435880 266669110570 320002932684 400003665855 533338221140 640005865368 800007331710 1066676442280 1093343353337 1600014663420 2186686706674 3200029326840 3280030060011 4373373413348 5466716766685 6560060120022 8746746826696 10933433533370 13120120240044 16400150300055 21866867066740 26240240480088 32800300600110 43733734133480 65600601200220 131201202400440