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354142007310260 = 225133737399845707
BaseRepresentation
bin101000010000101110001110…
…0100010111011011110110100
31201102220122102101121100200202
41100201130130202323132310
5332404230312332412020
63253110331525100032
7134410626036353201
oct12041343442733664
91642818371540622
10354142007310260
11a2927866733214
1233877115857618
131227b5a931c050
1463647c940aca8
152ae20a6503e75
hex142171c8bb7b4

354142007310260 has 96 divisors (see below), whose sum is σ = 822771948324480. Its totient is φ = 127192028640768.

The previous prime is 354142007310257. The next prime is 354142007310271. The reversal of 354142007310260 is 62013700241453.

It is a super-2 number, since 2×3541420073102602 (a number of 30 digits) contains 22 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, 31046327 + ... + 40892033.

It is an arithmetic number, because the mean of its divisors is an integer number (8570541128380).

Almost surely, 2354142007310260 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 354142007310260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411385974162240).

354142007310260 is an abundant number, since it is smaller than the sum of its proper divisors (468629941014220).

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

354142007310260 is a wasteful number, since it uses less digits than its factorization.

354142007310260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9849505 (or 9849503 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 354142007310260 in words is "three hundred fifty-four trillion, one hundred forty-two billion, seven million, three hundred ten thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 3739 4810 7478 9620 14956 18695 37390 48607 74780 97214 138343 194428 243035 276686 486070 553372 691715 972140 1383430 1798459 2766860 3596918 7193836 8992295 9845707 17984590 19691414 35969180 39382828 49228535 98457070 127994191 196914140 255988382 364291159 511976764 639970955 728582318 1279941910 1457164636 1821455795 2559883820 3642911590 4735785067 7285823180 9471570134 18943140268 23678925335 36813098473 47357850670 73626196946 94715701340 147252393892 184065492365 368130984730 478570280149 736261969460 957140560298 1362084643501 1914281120596 2392851400745 2724169287002 4785702801490 5448338574004 6810423217505 9571405602980 13620846435010 17707100365513 27241692870020 35414200731026 70828401462052 88535501827565 177071003655130 354142007310260