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131403021333440 = 2654113773105651
BaseRepresentation
bin11101111000001010100110…
…011010001011001111000000
3122020021000011111011201120012
4131320022212122023033000
5114210401341430132230
61143245414210204052
736451361236236023
oct3570124632131700
9566230144151505
10131403021333440
1138961787966aaa
12128a2951b83628
13584233710290c
142463d23b651ba
15102d162ab3395
hex7782a668b3c0

131403021333440 has 112 divisors (see below), whose sum is σ = 322874913551904. Its totient is φ = 50904926208000.

The previous prime is 131403021333439. The next prime is 131403021333457. The reversal of 131403021333440 is 44333120304131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131403021333397 and 131403021333406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34755386 + ... + 38350265.

It is an arithmetic number, because the mean of its divisors is an integer number (2882811728142).

Almost surely, 2131403021333440 is an apocalyptic number.

131403021333440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131403021333440 is an abundant number, since it is smaller than the sum of its proper divisors (191471892218464).

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

131403021333440 is a wasteful number, since it uses less digits than its factorization.

131403021333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73105846 (or 73105836 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 131403021333440 its reverse (44333120304131), we get a palindrome (175736141637571).

The spelling of 131403021333440 in words is "one hundred thirty-one trillion, four hundred three billion, twenty-one million, three hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 137 160 164 205 274 320 328 410 548 656 685 820 1096 1312 1370 1640 2192 2624 2740 3280 4384 5480 5617 6560 8768 10960 11234 13120 21920 22468 28085 43840 44936 56170 89872 112340 179744 224680 359488 449360 898720 1797440 73105651 146211302 292422604 365528255 584845208 731056510 1169690416 1462113020 2339380832 2924226040 2997331691 4678761664 5848452080 5994663382 10015474187 11696904160 11989326764 14986658455 20030948374 23393808320 23978653528 29973316910 40061896748 47957307056 50077370935 59946633820 80123793496 95914614112 100154741870 119893267640 160247586992 191829228224 200309483740 239786535280 320495173984 400618967480 410634441667 479573070560 640990347968 801237934960 821268883334 959146141120 1602475869920 1642537766668 2053172208335 3204951739840 3285075533336 4106344416670 6570151066672 8212688833340 13140302133344 16425377666680 26280604266688 32850755333360 65701510666720 131403021333440