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10480142148 = 22372294314293
BaseRepresentation
bin10011100001010101…
…00100011101000100
31000001101020101022220
421300222210131010
5132430404022043
64451533452340
7520464511200
oct116052443504
930041211286
1010480142148
114498848a03
1220459410b0
13cb030ba58
14715c29b00
15415102483
hex270aa4744

10480142148 has 144 divisors (see below), whose sum is σ = 30113455680. Its totient is φ = 2823641856.

The previous prime is 10480142089. The next prime is 10480142161. The reversal of 10480142148 is 84124108401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726090 + ... + 740382.

It is an arithmetic number, because the mean of its divisors is an integer number (209121220).

Almost surely, 210480142148 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 10480142148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15056727840).

10480142148 is an abundant number, since it is smaller than the sum of its proper divisors (19633313532).

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

10480142148 is a wasteful number, since it uses less digits than its factorization.

10480142148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14386 (or 14377 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

It can be divided in two parts, 10480 and 142148, that added together give a triangular number (152628 = T552).

The spelling of 10480142148 in words is "ten billion, four hundred eighty million, one hundred forty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 43 49 58 84 86 87 98 116 129 147 172 174 196 203 258 294 301 348 406 516 588 602 609 812 903 1204 1218 1247 1421 1806 2107 2436 2494 2842 3612 3741 4214 4263 4988 5684 6321 7482 8428 8526 8729 12642 14293 14964 17052 17458 25284 26187 28586 34916 42879 52374 57172 61103 85758 100051 104748 122206 171516 183309 200102 244412 300153 366618 400204 414497 600306 614599 700357 733236 828994 1200612 1229198 1243491 1400714 1657988 1843797 2101071 2458396 2486982 2801428 2901479 3687594 4202142 4302193 4973964 5802958 7375188 8404284 8604386 8704437 11605916 12906579 17208772 17408874 17823371 20310353 25813158 30115351 34817748 35646742 40620706 51626316 53470113 60230702 60931059 71293484 81241412 90346053 106940226 120461404 121862118 124763597 180692106 213880452 243724236 249527194 361384212 374290791 499054388 748581582 873345179 1497163164 1746690358 2620035537 3493380716 5240071074 10480142148