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40754291400 = 2334522515697
BaseRepresentation
bin100101111101001001…
…010010001011001000
310220012020101111210000
4211331021102023020
51131431044311100
630420001523000
72641633522044
oct457511221310
9126166344700
1040754291400
111631380a369
127a94643460
133ac6420434
141d88839024
1510d7d30900
hex97d2522c8

40754291400 has 120 divisors (see below), whose sum is σ = 141545747970. Its totient is φ = 10867806720.

The previous prime is 40754291363. The next prime is 40754291467. The reversal of 40754291400 is 419245704.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 17603451684 + 23150839716 = 132678^2 + 152154^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×407542914002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1241649 + ... + 1274048.

Almost surely, 240754291400 is an apocalyptic number.

40754291400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40754291400 is an abundant number, since it is smaller than the sum of its proper divisors (100791456570).

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

40754291400 is a wasteful number, since it uses less digits than its factorization.

40754291400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2515725 (or 2515707 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 40754291400 in words is "forty billion, seven hundred fifty-four million, two hundred ninety-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1350 1620 1800 2025 2700 3240 4050 5400 8100 16200 2515697 5031394 7547091 10062788 12578485 15094182 20125576 22641273 25156970 30188364 37735455 45282546 50313940 60376728 62892425 67923819 75470910 90565092 100627880 113206365 125784850 135847638 150941820 181130184 188677275 203771457 226412730 251569700 271695276 301883640 339619095 377354550 407542914 452825460 503139400 543390552 566031825 679238190 754709100 815085828 905650920 1018857285 1132063650 1358476380 1509418200 1630171656 1698095475 2037714570 2264127300 2716952760 3396190950 4075429140 4528254600 5094286425 6792381900 8150858280 10188572850 13584763800 20377145700 40754291400