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144636211601630 = 25729476722626029
BaseRepresentation
bin100000111000101110111110…
…000000111010000011011110
3200222010002100021022020221022
4200320232332000322003132
5122424204430132223010
61231340542555404142
742315423104501630
oct4070567600720336
9628102307266838
10144636211601630
11420a3966877701
121427b572753652
1362921a03b4338
1427a0603c8aa50
1511ac4be422d55
hex838bbe03a0de

144636211601630 has 128 divisors (see below), whose sum is σ = 319037883494400. Its totient is φ = 46161441317376.

The previous prime is 144636211601617. The next prime is 144636211601647. The reversal of 144636211601630 is 36106112636441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4920545 + ... + 17705484.

It is an arithmetic number, because the mean of its divisors is an integer number (2492483464800).

Almost surely, 2144636211601630 is an apocalyptic number.

144636211601630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144636211601630 is an abundant number, since it is smaller than the sum of its proper divisors (174401671892770).

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

144636211601630 is a wasteful number, since it uses less digits than its factorization.

144636211601630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22626186.

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 144636211601630 in words is "one hundred forty-four trillion, six hundred thirty-six billion, two hundred eleven million, six hundred one thousand, six hundred thirty".

Divisors: 1 2 5 7 10 14 29 35 47 58 67 70 94 134 145 203 235 290 329 335 406 469 470 658 670 938 1015 1363 1645 1943 2030 2345 2726 3149 3290 3886 4690 6298 6815 9541 9715 13601 13630 15745 19082 19430 22043 27202 31490 44086 47705 68005 91321 95410 110215 136010 182642 220430 456605 639247 913210 1278494 3196235 6392470 22626029 45252058 113130145 158382203 226260290 316764406 656154841 791911015 1063423363 1312309682 1515943943 1583822030 2126846726 3031887886 3280774205 4593083887 5317116815 6561548410 7443963541 7579719715 9186167774 10611607601 10634233630 14887927082 15159439430 21223215202 22965419435 30839277527 37219817705 43962374347 45930838870 53058038005 61678555054 71249365321 74439635410 87924748694 106116076010 142498730642 154196387635 215874942689 219811871735 307736620429 308392775270 356246826605 431749885378 439623743470 498745557247 615473240858 712493653210 997491114494 1079374713445 1538683102145 2066231594309 2158749426890 2493727786235 3077366204290 4132463188618 4987455572470 10331157971545 14463621160163 20662315943090 28927242320326 72318105800815 144636211601630