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40154133100 = 22524113174761
BaseRepresentation
bin100101011001010111…
…110111001001101100
310211122102002022100211
4211121113313021230
51124213424224400
630240242232204
72621025333304
oct453127671154
9124572068324
1040154133100
1116035a63574
127947655664
133a2bc9a793
141d2cc50604
1510a02d0dba
hex9595f726c

40154133100 has 72 divisors (see below), whose sum is σ = 89942274576. Its totient is φ = 15550080000.

The previous prime is 40154133077. The next prime is 40154133119. The reversal of 40154133100 is 133145104.

It is a super-2 number, since 2×401541331002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 499720 + ... + 574480.

It is an arithmetic number, because the mean of its divisors is an integer number (1249198258).

Almost surely, 240154133100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40154133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44971137288).

40154133100 is an abundant number, since it is smaller than the sum of its proper divisors (49788141476).

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

40154133100 is a wasteful number, since it uses less digits than its factorization.

40154133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74947 (or 74940 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 40154133100 its reverse (133145104), we get a palindrome (40287278204).

The spelling of 40154133100 in words is "forty billion, one hundred fifty-four million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 131 164 205 262 410 524 655 820 1025 1310 2050 2620 3275 4100 5371 6550 10742 13100 21484 26855 53710 74761 107420 134275 149522 268550 299044 373805 537100 747610 1495220 1869025 3065201 3738050 6130402 7476100 9793691 12260804 15326005 19587382 30652010 39174764 48968455 61304020 76630025 97936910 153260050 195873820 244842275 306520100 401541331 489684550 803082662 979369100 1606165324 2007706655 4015413310 8030826620 10038533275 20077066550 40154133100