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254150010034140 = 223511419392092019
BaseRepresentation
bin111001110010010111101001…
…000100010101011111011100
31020022212111121011211022202210
4321302113221010111133130
5231302443210032043030
62300310523000320420
7104350506113224263
oct7162275104253734
91208774534738683
10254150010034140
1173a86460a94a30
1224607b84173110
13aba7321160c9c
1446a8cd73b15da
151e5b0595bbbb0
hexe725e91157dc

254150010034140 has 96 divisors (see below), whose sum is σ = 795247215517440. Its totient is φ = 60109388915200.

The previous prime is 254150010034087. The next prime is 254150010034169. The reversal of 254150010034140 is 41430010051452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 254150010034098 and 254150010034107.

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, 4696018950 + ... + 4696073069.

It is an arithmetic number, because the mean of its divisors is an integer number (8283825161640).

Almost surely, 2254150010034140 is an apocalyptic number.

254150010034140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254150010034140 is an abundant number, since it is smaller than the sum of its proper divisors (541097205483300).

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

254150010034140 is a wasteful number, since it uses less digits than its factorization.

254150010034140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9392092083 (or 9392092081 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 254150010034140 its reverse (41430010051452), we get a palindrome (295580020085592).

The spelling of 254150010034140 in words is "two hundred fifty-four trillion, one hundred fifty billion, ten million, thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 41 44 55 60 66 82 110 123 132 164 165 205 220 246 330 410 451 492 615 660 820 902 1230 1353 1804 2255 2460 2706 4510 5412 6765 9020 13530 27060 9392092019 18784184038 28176276057 37568368076 46960460095 56352552114 93920920190 103313012209 112705104228 140881380285 187841840380 206626024418 281762760570 309939036627 385075772779 413252048836 516565061045 563525521140 619878073254 770151545558 1033130122090 1155227318337 1239756146508 1540303091116 1549695183135 1925378863895 2066260244180 2310454636674 3099390366270 3850757727790 4235833500569 4620909273348 5776136591685 6198780732540 7701515455580 8471667001138 11552273183370 12707500501707 16943334002276 21179167502845 23104546366740 25415001003414 42358335005690 50830002006828 63537502508535 84716670011380 127075005017070 254150010034140