Search a number
-
+
5411542138700 = 22521937952314369
BaseRepresentation
bin100111010111111100100…
…0010111111111101001100
3201011100010200020220010112
41032233321002333331030
51202130314241414300
615302010024455152
71065654026136245
oct116577102777514
921140120226115
105411542138700
1117a7027505565
1273496261a4b8
133033c9a47179
14149cc481dccc
1595b77597e35
hex4ebf90bff4c

5411542138700 has 144 divisors (see below), whose sum is σ = 12418278096000. Its totient is φ = 2041226127360.

The previous prime is 5411542138663. The next prime is 5411542138747. The reversal of 5411542138700 is 78312451145.

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, 376605116 + ... + 376619484.

Almost surely, 25411542138700 is an apocalyptic number.

5411542138700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5411542138700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209139048000).

5411542138700 is an abundant number, since it is smaller than the sum of its proper divisors (7006735957300).

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

5411542138700 is a wasteful number, since it uses less digits than its factorization.

5411542138700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15304 (or 15297 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 41.

Adding to 5411542138700 its reverse (78312451145), we get a palindrome (5489854589845).

The spelling of 5411542138700 in words is "five trillion, four hundred eleven billion, five hundred forty-two million, one hundred thirty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 379 380 475 523 758 950 1046 1516 1895 1900 2092 2615 3790 5230 7201 7580 9475 9937 10460 13075 14369 14402 18950 19874 26150 28738 28804 36005 37900 39748 49685 52300 57476 71845 72010 99370 143690 144020 180025 198217 198740 248425 273011 287380 359225 360050 396434 496850 546022 718450 720100 792868 991085 993700 1092044 1365055 1436900 1982170 2730110 3766123 3964340 4955425 5445851 5460220 6825275 7514987 7532246 9910850 10891702 13650550 15029974 15064492 18830615 19821700 21783404 27229255 27301100 30059948 37574935 37661230 54458510 75149870 75322460 94153075 103471169 108917020 136146275 142784753 150299740 187874675 188306150 206942338 272292550 285569506 375749350 376612300 413884676 517355845 544585100 571139012 713923765 751498700 1034711690 1427847530 2069423380 2586779225 2848180073 2855695060 3569618825 5173558450 5696360146 7139237650 10347116900 11392720292 14240900365 14278475300 28481800730 54115421387 56963601460 71204501825 108230842774 142409003650 216461685548 270577106935 284818007300 541154213870 1082308427740 1352885534675 2705771069350 5411542138700