Search a number
-
+
1054555120140 = 2235192931898219
BaseRepresentation
bin11110101100010000110…
…00100010001000001100
310201210222202111200020020
433112020120202020030
5114234212102321030
62124242252022140
7136121600423304
oct17261030421014
93653882450206
101054555120140
11377263967145
12150468461950
13785a0970b12
143907db10604
151c670e86510
hexf58862220c

1054555120140 has 96 divisors (see below), whose sum is σ = 3215340576000. Its totient is φ = 257227229952.

The previous prime is 1054555120109. The next prime is 1054555120181. The reversal of 1054555120140 is 410215554501.

It is a happy number.

It is a super-2 number, since 2×10545551201402 (a number of 25 digits) contains 22 as substring.

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, 15916050 + ... + 15982169.

It is an arithmetic number, because the mean of its divisors is an integer number (33493131000).

Almost surely, 21054555120140 is an apocalyptic number.

1054555120140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054555120140 is an abundant number, since it is smaller than the sum of its proper divisors (2160785455860).

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

1054555120140 is a wasteful number, since it uses less digits than its factorization.

1054555120140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31898279 (or 31898277 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 33.

The spelling of 1054555120140 in words is "one trillion, fifty-four billion, five hundred fifty-five million, one hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 29 30 38 57 58 60 76 87 95 114 116 145 174 190 228 285 290 348 380 435 551 570 580 870 1102 1140 1653 1740 2204 2755 3306 5510 6612 8265 11020 16530 33060 31898219 63796438 95694657 127592876 159491095 191389314 318982190 382778628 478473285 606066161 637964380 925048351 956946570 1212132322 1818198483 1850096702 1913893140 2424264644 2775145053 3030330805 3636396966 3700193404 4625241755 5550290106 6060661610 7272793932 9090992415 9250483510 11100580212 12121323220 13875725265 17575918669 18181984830 18500967020 27751450530 35151837338 36363969660 52727756007 55502901060 70303674676 87879593345 105455512014 175759186690 210911024028 263638780035 351518373380 527277560070 1054555120140