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354242061020 = 2252315711034447
BaseRepresentation
bin1010010011110100111…
…10001110001011011100
31020212100201221020010002
411021322132032023130
521300441431423040
6430423032433432
734410306560051
oct5117236161334
91225321836102
10354242061020
11127262454601
12587a2b48878
13275356b2cc3
1413206dd7028
159334690a15
hex527a78e2dc

354242061020 has 96 divisors (see below), whose sum is σ = 782080524288. Its totient is φ = 134520452352.

The previous prime is 354242060993. The next prime is 354242061077. The reversal of 354242061020 is 20160242453.

It is a super-3 number, since 3×3542420610203 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79656437 + ... + 79660883.

It is an arithmetic number, because the mean of its divisors is an integer number (8146672128).

Almost surely, 2354242061020 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 354242061020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391040262144).

354242061020 is an abundant number, since it is smaller than the sum of its proper divisors (427838463268).

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

354242061020 is a wasteful number, since it uses less digits than its factorization.

354242061020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5739 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The spelling of 354242061020 in words is "three hundred fifty-four billion, two hundred forty-two million, sixty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 157 230 314 460 628 785 1103 1570 2206 3140 3611 4412 4447 5515 7222 8894 11030 14444 17788 18055 22060 22235 25369 36110 44470 50738 72220 88940 101476 102281 126845 173171 204562 253690 346342 409124 507380 511405 692684 698179 865855 1022810 1396358 1731710 2045620 2792716 3463420 3490895 3982933 4905041 6981790 7965866 9810082 13963580 15931732 16058117 19620164 19914665 24525205 32116234 39829330 49050410 64232468 79658660 80290585 98100820 112815943 160581170 225631886 321162340 451263772 564079715 770091437 1128159430 1540182874 2256318860 3080365748 3850457185 7700914370 15401828740 17712103051 35424206102 70848412204 88560515255 177121030510 354242061020