Search a number
-
+
4140205503532 = 227273163210891
BaseRepresentation
bin111100001111110111011…
…110100111010000101100
3112122210121001002020112021
4330033313132213100230
51020313120102103112
612445552324315524
7605056103061100
oct74176736472054
915583531066467
104140205503532
11135694008763a
1256a496542ba4
1324055c120a47
1410455bd83900
1572a69c71907
hex3c3f77a742c

4140205503532 has 108 divisors (see below), whose sum is σ = 8597257733736. Its totient is φ = 1739170984320.

The previous prime is 4140205503503. The next prime is 4140205503563. The reversal of 4140205503532 is 2353055020414.

It is a super-2 number, since 2×41402055035322 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380143807 + ... + 380154697.

Almost surely, 24140205503532 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 4140205503532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4298628866868).

4140205503532 is an abundant number, since it is smaller than the sum of its proper divisors (4457052230204).

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

4140205503532 is a wasteful number, since it uses less digits than its factorization.

4140205503532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 4140205503532 in words is "four trillion, one hundred forty billion, two hundred five million, five hundred three thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 73 98 146 163 196 292 326 511 652 1022 1141 2044 2282 3577 4564 7154 7987 10891 11899 14308 15974 21782 23798 26569 31948 43564 47596 53138 76237 83293 106276 152474 166586 185983 304948 333172 371966 533659 583051 743932 795043 1067318 1166102 1301881 1590086 1775233 1939537 2134636 2332204 2603762 3180172 3550466 3879074 5207524 5565301 7100932 7758148 11130602 12426631 13576759 22261204 24853262 27153518 38957107 49706524 54307036 77914214 86986417 95037313 129592009 155828428 173972834 190074626 259184018 289362979 347945668 380149252 518368036 578725958 907144063 1157451916 1814288126 2025540853 3628576252 4051081706 6350008441 8102163412 12700016882 14178785971 21123497467 25400033764 28357571942 42246994934 56715143884 84493989868 147864482269 295728964538 591457929076 1035051375883 2070102751766 4140205503532