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238350155040 = 2533555173647
BaseRepresentation
bin1101110111111011000…
…1101011110100100000
3211210020000212102012000
43131332301223310200
512401120114430130
6301255131004000
723135352614124
oct3357661536440
9753200772160
10238350155040
11920a14a3308
123a23ab99600
1319626635cca
14b771501584
1563001b3260
hex377ec6bd20

238350155040 has 96 divisors (see below), whose sum is σ = 834225557760. Its totient is φ = 63560040192.

The previous prime is 238350155039. The next prime is 238350155089. The reversal of 238350155040 is 40551053832.

238350155040 is a `hidden beast` number, since 2 + 38 + 35 + 0 + 1 + 550 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 238350154986 and 238350155004.

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, 27582504 + ... + 27591143.

It is an arithmetic number, because the mean of its divisors is an integer number (8689849560).

Almost surely, 2238350155040 is an apocalyptic number.

238350155040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238350155040 is an abundant number, since it is smaller than the sum of its proper divisors (595875402720).

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

238350155040 is a wasteful number, since it uses less digits than its factorization.

238350155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55173671 (or 55173657 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 238350155040 in words is "two hundred thirty-eight billion, three hundred fifty million, one hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 55173647 110347294 165520941 220694588 275868235 331041882 441389176 496562823 551736470 662083764 827604705 882778352 993125646 1103472940 1324167528 1489688469 1655209410 1765556704 1986251292 2206945880 2482814115 2648335056 2979376938 3310418820 3972502584 4413891760 4965628230 5296670112 5958753876 6620837640 7448442345 7945005168 8827783520 9931256460 11917507752 13241675280 14896884690 15890010336 19862512920 23835015504 26483350560 29793769380 39725025840 47670031008 59587538760 79450051680 119175077520 238350155040