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4155131040 = 25358656523
BaseRepresentation
bin1111011110101010…
…0100010010100000
3101201120121112020020
43313222210102200
532002203143130
61524150513440
7204653013444
oct36752442240
911646545206
104155131040
1118425104a5
1297b665880
13512ac8c28
142b5bb6824
15194bb9e10
hexf7aa44a0

4155131040 has 48 divisors (see below), whose sum is σ = 13088664288. Its totient is φ = 1108034816.

The previous prime is 4155131003. The next prime is 4155131051. The reversal of 4155131040 is 401315514.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×41551310402 = 34530227919142963200, which 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 4155131040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4327782 + ... + 4328741.

It is an arithmetic number, because the mean of its divisors is an integer number (272680506).

Almost surely, 24155131040 is an apocalyptic number.

4155131040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4155131040 is an abundant number, since it is smaller than the sum of its proper divisors (8933533248).

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

4155131040 is a wasteful number, since it uses less digits than its factorization.

4155131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656541 (or 8656533 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 4155131040 is about 64460.3059254298. The cubic root of 4155131040 is about 1607.6625984499.

Adding to 4155131040 its reverse (401315514), we get a palindrome (4556446554).

The spelling of 4155131040 in words is "four billion, one hundred fifty-five million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 8656523 17313046 25969569 34626092 43282615 51939138 69252184 86565230 103878276 129847845 138504368 173130460 207756552 259695690 277008736 346260920 415513104 519391380 692521840 831026208 1038782760 1385043680 2077565520 4155131040