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40151312352 = 2532166383833
BaseRepresentation
bin100101011001001101…
…000110011111100000
310211122012210000000200
4211121031012133200
51124212213443402
630240101545200
72620662344454
oct453115063740
9124565700020
1040151312352
1116034407278
127946715200
133a2b5208b8
141d2c718664
15109ee2521c
hex9593467e0

40151312352 has 72 divisors (see below), whose sum is σ = 114250316544. Its totient is φ = 13375563264.

The previous prime is 40151312347. The next prime is 40151312387. The reversal of 40151312352 is 25321315104.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×401513123522 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 437028 + ... + 520860.

It is an arithmetic number, because the mean of its divisors is an integer number (1586809952).

Almost surely, 240151312352 is an apocalyptic number.

It is an amenable number.

40151312352 is an abundant number, since it is smaller than the sum of its proper divisors (74099004192).

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

40151312352 is a wasteful number, since it uses less digits than its factorization.

40151312352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85512 (or 85501 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 40151312352 its reverse (25321315104), we get a palindrome (65472627456).

The spelling of 40151312352 in words is "forty billion, one hundred fifty-one million, three hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1663 3326 4989 6652 9978 13304 14967 19956 26608 29934 39912 53216 59868 79824 83833 119736 159648 167666 239472 251499 335332 478944 502998 670664 754497 1005996 1341328 1508994 2011992 2682656 3017988 4023984 6035976 8047968 12071952 24143904 139414279 278828558 418242837 557657116 836485674 1115314232 1254728511 1672971348 2230628464 2509457022 3345942696 4461256928 5018914044 6691885392 10037828088 13383770784 20075656176 40151312352