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151402244154 = 237171971157189
BaseRepresentation
bin1000110100000001000…
…1101110100000111010
3112110210111000220020020
42031000101232200322
54440032433303104
6153315255311310
713636613561430
oct2150021564072
9473714026206
10151402244154
115923368aa17
122541437b536
131137ac35525
147483ac8d50
153e11c692d9
hex234046e83a

151402244154 has 128 divisors (see below), whose sum is σ = 391139020800. Its totient is φ = 38026920960.

The previous prime is 151402244117. The next prime is 151402244177. The reversal of 151402244154 is 451442204151.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 884592 + ... + 1041780.

It is an arithmetic number, because the mean of its divisors is an integer number (3055773600).

Almost surely, 2151402244154 is an apocalyptic number.

151402244154 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151402244154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195569510400).

151402244154 is an abundant number, since it is smaller than the sum of its proper divisors (239736776646).

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

151402244154 is a wasteful number, since it uses less digits than its factorization.

151402244154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157308.

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 151402244154 in words is "one hundred fifty-one billion, four hundred two million, two hundred forty-four thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 71 102 114 119 133 142 213 238 266 323 357 399 426 497 646 714 798 969 994 1207 1349 1491 1938 2261 2414 2698 2982 3621 4047 4522 6783 7242 8094 8449 9443 13566 16898 18886 22933 25347 28329 45866 50694 56658 68799 137598 157189 160531 314378 321062 471567 481593 943134 963186 1100323 2200646 2672213 2986591 3300969 5344426 5973182 6601938 8016639 8959773 11160419 16033278 17919546 18705491 20906137 22320838 33481257 37410982 41812274 50772047 56116473 62718411 66962514 78122933 101544094 112232946 125436822 152316141 156245866 189727123 212047961 234368799 304632282 355404329 379454246 424095922 468737598 569181369 636143883 710808658 1066212987 1138362738 1272287766 1328089861 1484335727 2132425974 2656179722 2968671454 3604815337 3984269583 4453007181 7209630674 7968539166 8906014362 10814446011 21628892022 25233707359 50467414718 75701122077 151402244154