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161235534240 = 253251110179011
BaseRepresentation
bin1001011000101001100…
…0110000000110100000
3120102011210002210100100
42112022120300012200
510120202244043430
6202023125022400
714435365266564
oct2261230600640
9512153083310
10161235534240
116241a28a340
12272b9554a00
1312287223081
147b37a536a4
1542da196960
hex258a6301a0

161235534240 has 144 divisors (see below), whose sum is σ = 600235979616. Its totient is φ = 39087398400.

The previous prime is 161235534227. The next prime is 161235534253. The reversal of 161235534240 is 42435532161.

161235534240 is a `hidden beast` number, since 1 + 6 + 1 + 23 + 553 + 42 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (161235534227) and next prime (161235534253).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 161235534195 and 161235534204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5073666 + ... + 5105345.

It is an arithmetic number, because the mean of its divisors is an integer number (4168305414).

Almost surely, 2161235534240 is an apocalyptic number.

161235534240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161235534240 is an abundant number, since it is smaller than the sum of its proper divisors (439000445376).

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

161235534240 is a wasteful number, since it uses less digits than its factorization.

161235534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179043 (or 10179032 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 161235534240 in words is "one hundred sixty-one billion, two hundred thirty-five million, five hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 10179011 20358022 30537033 40716044 50895055 61074066 81432088 91611099 101790110 111969121 122148132 152685165 162864176 183222198 203580220 223938242 244296264 305370330 325728352 335907363 366444396 407160440 447876484 458055495 488592528 559845605 610740660 671814726 732888792 814320880 895752968 916110990 977185056 1007722089 1119691210 1221481320 1343629452 1465777584 1628641760 1679536815 1791505936 1832221980 2015444178 2239382420 2442962640 2687258904 2931555168 3359073630 3583011872 3664443960 4030888356 4478764840 4885925280 5038610445 5374517808 6718147260 7328887920 8061776712 8957529680 10077220890 10749035616 13436294520 14657775840 16123553424 17915059360 20154441780 26872589040 32247106848 40308883560 53745178080 80617767120 161235534240