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4313055121140 = 2235293947628013
BaseRepresentation
bin111110110000110110000…
…111100100111011110100
3120021022202020010121010110
4332300312013210323310
51031131114102334030
613101220135423020
7623415345430233
oct76606607447364
916238666117113
104313055121140
11141317a1a1687
12597a95524a70
1325394755839c
1410ca78278b1a
15772d48581b0
hex3ec361e4ef4

4313055121140 has 96 divisors (see below), whose sum is σ = 12496172330880. Its totient is φ = 1110204637696.

The previous prime is 4313055121097. The next prime is 4313055121159. The reversal of 4313055121140 is 411215503134.

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 = 4313055121098 and 4313055121107.

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, 6553774 + ... + 7181786.

It is an arithmetic number, because the mean of its divisors is an integer number (130168461780).

Almost surely, 24313055121140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4313055121140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6248086165440).

4313055121140 is an abundant number, since it is smaller than the sum of its proper divisors (8183117209740).

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

4313055121140 is a wasteful number, since it uses less digits than its factorization.

4313055121140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632001 (or 631999 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 4313055121140 in words is "four trillion, three hundred thirteen billion, fifty-five million, one hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 3947 7894 11841 15788 19735 23682 39470 47364 59205 78940 114463 118410 228926 236820 343389 457852 572315 628013 686778 1144630 1256026 1373556 1716945 1884039 2289260 2512052 3140065 3433890 3768078 6280130 6867780 7536156 9420195 12560260 18212377 18840390 36424754 37680780 54637131 72849508 91061885 109274262 182123770 218548524 273185655 364247540 546371310 1092742620 2478767311 4957534622 7436301933 9915069244 12393836555 14872603866 24787673110 29745207732 37181509665 49575346220 71884252019 74363019330 143768504038 148726038660 215652756057 287537008076 359421260095 431305512114 718842520190 862611024228 1078263780285 1437685040380 2156527560570 4313055121140