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40297194528 = 2532329221701
BaseRepresentation
bin100101100001111001…
…100110010000100000
310212000101021120202020
4211201321212100200
51130012040211103
630302352421440
72624413334103
oct454171462040
9125011246666
1040297194528
11160a9796758
127987547880
133a5280a406
141d43c5073a
1510acb3e753
hex961e66420

40297194528 has 144 divisors (see below), whose sum is σ = 114321969216. Its totient is φ = 12404761600.

The previous prime is 40297194527. The next prime is 40297194541. The reversal of 40297194528 is 82549179204.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (40297194521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1846078 + ... + 1867778.

It is an arithmetic number, because the mean of its divisors is an integer number (793902564).

Almost surely, 240297194528 is an apocalyptic number.

40297194528 is a gapful number since it is divisible by the number (48) 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 40297194528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57160984608).

40297194528 is an abundant number, since it is smaller than the sum of its proper divisors (74024774688).

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

40297194528 is a wasteful number, since it uses less digits than its factorization.

40297194528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21795 (or 21758 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 40297194528 in words is "forty billion, two hundred ninety-seven million, one hundred ninety-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 464 552 667 696 736 841 928 1104 1334 1392 1682 2001 2208 2523 2668 2784 3364 4002 5046 5336 6728 8004 10092 10672 13456 16008 19343 20184 21344 21701 26912 32016 38686 40368 43402 58029 64032 65103 77372 80736 86804 116058 130206 154744 173608 232116 260412 309488 347216 464232 499123 520824 618976 629329 694432 928464 998246 1041648 1258658 1497369 1856928 1887987 1996492 2083296 2517316 2994738 3775974 3992984 5034632 5989476 7551948 7985968 10069264 11978952 14474567 15103896 15971936 18250541 20138528 23957904 28949134 30207792 36501082 43423701 47915808 54751623 57898268 60415584 73002164 86847402 109503246 115796536 146004328 173694804 219006492 231593072 292008656 347389608 419762443 438012984 463186144 584017312 694779216 839524886 876025968 1259287329 1389558432 1679049772 1752051936 2518574658 3358099544 5037149316 6716199088 10074298632 13432398176 20148597264 40297194528