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5540158944 = 25356191151
BaseRepresentation
bin1010010100011100…
…00001110111100000
3112022002210020100000
411022032001313200
542321240041234
62313424500000
7254201400615
oct51216016740
915262706300
105540158944
112393303461
1210a747a600
136a3a34978
143a7b0c50c
152265a3899
hex14a381de0

5540158944 has 144 divisors (see below), whose sum is σ = 16378951680. Its totient is φ = 1842134400.

The previous prime is 5540158933. The next prime is 5540158963. The reversal of 5540158944 is 4498510455.

5540158944 is a `hidden beast` number, since 5 + 540 + 15 + 8 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×55401589442 = 61386722249566390272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5540158944.

It is a congruent number.

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, 4812769 + ... + 4813919.

It is an arithmetic number, because the mean of its divisors is an integer number (113742720).

Almost surely, 25540158944 is an apocalyptic number.

5540158944 is a gapful number since it is divisible by the number (54) 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 5540158944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8189475840).

5540158944 is an abundant number, since it is smaller than the sum of its proper divisors (10838792736).

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

5540158944 is a wasteful number, since it uses less digits than its factorization.

5540158944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The square root of 5540158944 is about 74432.2439806835. The cubic root of 5540158944 is about 1769.4599673970.

The spelling of 5540158944 in words is "five billion, five hundred forty million, one hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 619 648 864 972 1151 1238 1296 1857 1944 2302 2476 2592 3453 3714 3888 4604 4952 5571 6906 7428 7776 9208 9904 10359 11142 13812 14856 16713 18416 19808 20718 22284 27624 29712 31077 33426 36832 41436 44568 50139 55248 59424 62154 66852 82872 89136 93231 100278 110496 124308 133704 150417 165744 178272 186462 200556 248616 267408 279693 300834 331488 372924 401112 497232 534816 559386 601668 712469 745848 802224 994464 1118772 1203336 1424938 1491696 1604448 2137407 2237544 2406672 2849876 2983392 4274814 4475088 4813344 5699752 6412221 8549628 8950176 11399504 12824442 17099256 19236663 22799008 25648884 34198512 38473326 51297768 57709989 68397024 76946652 102595536 115419978 153893304 173129967 205191072 230839956 307786608 346259934 461679912 615573216 692519868 923359824 1385039736 1846719648 2770079472 5540158944