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145123913792 = 26111385718503
BaseRepresentation
bin1000011100101000001…
…1110011000001000000
3111212120221020200002002
42013022003303001000
54334203210220132
6150400301043132
713325206625324
oct2071203630100
9455527220062
10145123913792
1156601736440
12241618564a8
13108ba2b8050
147049d47984
153b959a3262
hex21ca0f3040

145123913792 has 112 divisors (see below), whose sum is σ = 338739553152. Its totient is φ = 60816814080.

The previous prime is 145123913791. The next prime is 145123913801. The reversal of 145123913792 is 297319321541.

It is not an unprimeable number, because it can be changed into a prime (145123913791) by changing a digit.

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, 7834013 + ... + 7852515.

It is an arithmetic number, because the mean of its divisors is an integer number (3024460296).

Almost surely, 2145123913792 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 145123913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169369776576).

145123913792 is an abundant number, since it is smaller than the sum of its proper divisors (193615639360).

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

145123913792 is a wasteful number, since it uses less digits than its factorization.

145123913792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19396 (or 19386 counting only the distinct ones).

The product of its digits is 408240, while the sum is 47.

The spelling of 145123913792 in words is "one hundred forty-five billion, one hundred twenty-three million, nine hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 857 1144 1714 2288 3428 4576 6856 9152 9427 11141 13712 18503 18854 22282 27424 37006 37708 44564 54848 74012 75416 89128 122551 148024 150832 178256 203533 240539 245102 296048 301664 356512 407066 481078 490204 592096 603328 713024 814132 962156 980408 1184192 1628264 1924312 1960816 2645929 3256528 3848624 3921632 5291858 6513056 7697248 7843264 10583716 13026112 15394496 15857071 21167432 31714142 42334864 63428284 84669728 126856568 169339456 174427781 206141923 253713136 348855562 412283846 507426272 697711124 824567692 1014852544 1395422248 1649135384 2267561153 2790844496 3298270768 4535122306 5581688992 6596541536 9070244612 11163377984 13193083072 18140489224 36280978448 72561956896 145123913792