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103104021440 = 2657433710613
BaseRepresentation
bin110000000000101111…
…0101000001111000000
3100212010111101222011202
41200001132220033000
53142124112141230
6115210525000332
710310004502460
oct1400136501700
9325114358152
10103104021440
113a7a9594382
1217b953b30a8
139951915014
144dc13c3ba0
152a369c9a45
hex18017a83c0

103104021440 has 112 divisors (see below), whose sum is σ = 280681371072. Its totient is φ = 35338469376.

The previous prime is 103104021437. The next prime is 103104021457. The reversal of 103104021440 is 44120401301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9709574 + ... + 9720186.

Almost surely, 2103104021440 is an apocalyptic number.

103104021440 is a gapful number since it is divisible by the number (10) 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 103104021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140340685536).

103104021440 is an abundant number, since it is smaller than the sum of its proper divisors (177577349632).

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

103104021440 is a wasteful number, since it uses less digits than its factorization.

103104021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14974 (or 14964 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 103104021440 its reverse (44120401301), we get a palindrome (147224422741).

The spelling of 103104021440 in words is "one hundred three billion, one hundred four million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 4337 8674 10613 17348 21226 21685 30359 34696 42452 43370 53065 60718 69392 74291 84904 86740 106130 121436 138784 148582 151795 169808 173480 212260 242872 277568 297164 303590 339616 346960 371455 424520 485744 594328 607180 679232 693920 742910 849040 971488 1188656 1214360 1387840 1485820 1698080 1942976 2377312 2428720 2971640 3396160 4754624 4857440 5943280 9714880 11886560 23773120 46028581 92057162 184114324 230142905 322200067 368228648 460285810 644400134 736457296 920571620 1288800268 1472914592 1611000335 1841143240 2577600536 2945829184 3222000670 3682286480 5155201072 6444001340 7364572960 10310402144 12888002680 14729145920 20620804288 25776005360 51552010720 103104021440