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141372768 = 25319179433
BaseRepresentation
bin10000110110100…
…10110101100000
3100212000110222110
420123102311200
5242142412033
622010035320
73334435335
oct1033226540
9325013873
10141372768
117288a4a9
123b418b40
132339b134
1414ac098c
15c628363
hex86d2d60

141372768 has 96 divisors (see below), whose sum is σ = 393724800. Its totient is φ = 44292096.

The previous prime is 141372761. The next prime is 141372809. The reversal of 141372768 is 867273141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141372761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326280 + ... + 326712.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2141372768 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 141372768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

141372768 is an abundant number, since it is smaller than the sum of its proper divisors (252352032).

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

141372768 is a wasteful number, since it uses less digits than its factorization.

141372768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 636 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 141372768 is about 11890.0280907994. The cubic root of 141372768 is about 520.9410572586.

The spelling of 141372768 in words is "one hundred forty-one million, three hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 179 228 304 358 433 456 537 608 716 866 912 1074 1299 1432 1732 1824 2148 2598 2864 3401 3464 4296 5196 5728 6802 6928 8227 8592 10203 10392 13604 13856 16454 17184 20406 20784 24681 27208 32908 40812 41568 49362 54416 65816 77507 81624 98724 108832 131632 155014 163248 197448 232521 263264 310028 326496 394896 465042 620056 789792 930084 1240112 1472633 1860168 2480224 2945266 3720336 4417899 5890532 7440672 8835798 11781064 17671596 23562128 35343192 47124256 70686384 141372768