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40000031104 = 2711315317291
BaseRepresentation
bin100101010000001100…
…000000100110000000
310211020200010010011111
4211100030000212000
51123410001443404
630213055253104
72614144440325
oct452014004600
9124220103144
1040000031104
1115a66a7a450
127903b1a194
133a06093777
141d165b8b4c
1510919e1104
hex950300980

40000031104 has 128 divisors (see below), whose sum is σ = 91434562560. Its totient is φ = 17262336000.

The previous prime is 40000031089. The next prime is 40000031179. The reversal of 40000031104 is 40113000004.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2304699 + ... + 2321989.

It is an arithmetic number, because the mean of its divisors is an integer number (714332520).

Almost surely, 240000031104 is an apocalyptic number.

40000031104 is a gapful number since it is divisible by the number (44) 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 40000031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45717281280).

40000031104 is an abundant number, since it is smaller than the sum of its proper divisors (51434531456).

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

40000031104 is a wasteful number, since it uses less digits than its factorization.

40000031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17400 (or 17388 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 40000031104 its reverse (40113000004), we get a palindrome (80113031108).

The spelling of 40000031104 in words is "forty billion, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 31 32 44 53 62 64 88 106 124 128 176 212 248 341 352 424 496 583 682 704 848 992 1166 1364 1408 1643 1696 1984 2332 2728 3286 3392 3968 4664 5456 6572 6784 9328 10912 13144 17291 18073 18656 21824 26288 34582 36146 37312 43648 52576 69164 72292 74624 105152 138328 144584 190201 210304 276656 289168 380402 536021 553312 578336 760804 916423 1072042 1106624 1156672 1521608 1832846 2144084 2213248 2313344 3043216 3665692 4288168 5896231 6086432 7331384 8576336 10080653 11792462 12172864 14662768 17152672 20161306 23584924 24345728 28409113 29325536 34305344 40322612 47169848 56818226 58651072 68610688 80645224 94339696 113636452 117302144 161290448 188679392 227272904 312500243 322580896 377358784 454545808 625000486 645161792 754717568 909091616 1250000972 1290323584 1818183232 2500001944 3636366464 5000003888 10000007776 20000015552 40000031104