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103144014432 = 25323129273947
BaseRepresentation
bin110000000001111011…
…1001100001001100000
3100212020021122211020200
41200003313030021200
53142214331430212
6115214514105200
710311001441224
oct1400367141140
9325207584220
10103144014432
113a81a11a738
1217ba687b200
139959ca8604
144dc6834784
152a3a2796dc
hex1803dcc260

103144014432 has 144 divisors (see below), whose sum is σ = 302957770752. Its totient is φ = 33252468480.

The previous prime is 103144014419. The next prime is 103144014503. The reversal of 103144014432 is 234410441301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103144014396 and 103144014405.

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, 26130283 + ... + 26134229.

It is an arithmetic number, because the mean of its divisors is an integer number (2103873408).

Almost surely, 2103144014432 is an apocalyptic number.

103144014432 is a gapful number since it is divisible by the number (12) 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 103144014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151478885376).

103144014432 is an abundant number, since it is smaller than the sum of its proper divisors (199813756320).

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

103144014432 is a wasteful number, since it uses less digits than its factorization.

103144014432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6921 (or 6910 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103144014432 its reverse (234410441301), we get a palindrome (337554455733).

The spelling of 103144014432 in words is "one hundred three billion, one hundred forty-four million, fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2927 2976 3947 4464 5854 7894 8781 8928 11708 11841 15788 17562 23416 23682 26343 31576 35124 35523 46832 47364 52686 63152 70248 71046 90737 93664 94728 105372 122357 126304 140496 142092 181474 189456 210744 244714 272211 280992 284184 362948 367071 378912 421488 489428 544422 568368 725896 734142 816633 842976 978856 1088844 1101213 1136736 1451792 1468284 1633266 1957712 2177688 2202426 2903584 2936568 3266532 3915424 4355376 4404852 5873136 6533064 8710752 8809704 11552869 11746272 13066128 17619408 23105738 26132256 34658607 35238816 46211476 69317214 92422952 103975821 138634428 184845904 207951642 277268856 358138939 369691808 415903284 554537712 716277878 831806568 1074416817 1109075424 1432555756 1663613136 2148833634 2865111512 3223250451 3327226272 4297667268 5730223024 6446500902 8595334536 11460446048 12893001804 17190669072 25786003608 34381338144 51572007216 103144014432