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141538384152064 = 295231873128219
BaseRepresentation
bin100000001011101001111001…
…000111000000011000000000
3200120010221022100102122011101
4200023221321013000120000
5122022431102320331224
61221005500330224144
741545545050601364
oct4013517107003000
9616127270378141
10141538384152064
114110a100a57159
1213a5b106585054
1360c90211b5203
1426d46cc6a72a4
151156b1158d044
hex80ba791c0600

141538384152064 has 80 divisors (see below), whose sum is σ = 283366221526080. Its totient is φ = 70627604244480.

The previous prime is 141538384152059. The next prime is 141538384152103. The reversal of 141538384152064 is 460251483835141.

It is a super-2 number, since 2×1415383841520642 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141538384151996 and 141538384152014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5015698147 + ... + 5015726365.

It is an arithmetic number, because the mean of its divisors is an integer number (3542077769076).

Almost surely, 2141538384152064 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 141538384152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141683110763040).

141538384152064 is an abundant number, since it is smaller than the sum of its proper divisors (141827837374016).

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

141538384152064 is an equidigital number, since it uses as much as digits as its factorization.

141538384152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47491 (or 47475 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 55.

The spelling of 141538384152064 in words is "one hundred forty-one trillion, five hundred thirty-eight billion, three hundred eighty-four million, one hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 523 1046 2092 4184 8368 16736 18731 28219 33472 37462 56438 66944 74924 112876 133888 149848 225752 267776 299696 451504 599392 903008 1198784 1806016 2397568 3612032 4795136 7224064 9590272 9796313 14448128 14758537 19592626 29517074 39185252 59034148 78370504 118068296 156741008 236136592 313482016 472273184 528570089 626964032 944546368 1057140178 1253928064 1889092736 2114280356 2507856128 3778185472 4228560712 5015712256 7556370944 8457121424 16914242848 33828485696 67656971392 135313942784 270627885568 276442156547 552884313094 1105768626188 2211537252376 4423074504752 8846149009504 17692298019008 35384596038016 70769192076032 141538384152064