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357412345440 = 25353720124569
BaseRepresentation
bin1010011001101110110…
…11111001011001100000
31021011112200101100202120
411030313123321121200
521323440030023230
6432105402544240
734552003544553
oct5146733713140
91234480340676
10357412345440
11128639a51177
1259328808080
132791c449147
141342808869a
15946cb6e310
hex53376f9660

357412345440 has 96 divisors (see below), whose sum is σ = 1156277293920. Its totient is φ = 92734009344.

The previous prime is 357412345379. The next prime is 357412345561. The reversal of 357412345440 is 44543214753.

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

It is a junction number, because it is equal to n+sod(n) for n = 357412345392 and 357412345401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10044525 + ... + 10080044.

It is an arithmetic number, because the mean of its divisors is an integer number (12044555145).

Almost surely, 2357412345440 is an apocalyptic number.

357412345440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

357412345440 is an abundant number, since it is smaller than the sum of its proper divisors (798864948480).

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

357412345440 is a wasteful number, since it uses less digits than its factorization.

357412345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20124624 (or 20124616 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

The spelling of 357412345440 in words is "three hundred fifty-seven billion, four hundred twelve million, three hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 20124569 40249138 60373707 80498276 100622845 120747414 160996552 201245690 241494828 301868535 321993104 402491380 482989656 603737070 643986208 744609053 804982760 965979312 1207474140 1489218106 1609965520 1931958624 2233827159 2414948280 2978436212 3219931040 3723045265 4467654318 4829896560 5956872424 7446090530 8935308636 9659793120 11169135795 11913744848 14892181060 17870617272 22338271590 23827489696 29784362120 35741234544 44676543180 59568724240 71482469088 89353086360 119137448480 178706172720 357412345440