Search a number
-
+
514377450240 = 2835133952461
BaseRepresentation
bin1110111110000110100…
…10010000001100000000
31211011200211220212012120
413133003102100030000
531411421111401430
61032145101524240
752106516121033
oct7370322201400
91734624825176
10514377450240
1118916772a685
1283833b73680
1339675a04394
141ac788b101a
15d5a7e73610
hex77c3490300

514377450240 has 72 divisors (see below), whose sum is σ = 1642792993968. Its totient is φ = 137167319040.

The previous prime is 514377450233. The next prime is 514377450247. The reversal of 514377450240 is 42054773415.

It is an interprime number because it is at equal distance from previous prime (514377450233) and next prime (514377450247).

It is a super-2 number, since 2×5143774502402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 514377450192 and 514377450201.

It is not an unprimeable number, because it can be changed into a prime (514377450247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66972391 + ... + 66980070.

Almost surely, 2514377450240 is an apocalyptic number.

It is an amenable number.

514377450240 is an abundant number, since it is smaller than the sum of its proper divisors (1128415543728).

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

514377450240 is a wasteful number, since it uses less digits than its factorization.

514377450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133952485 (or 133952471 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 514377450240 in words is "five hundred fourteen billion, three hundred seventy-seven million, four hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 133952461 267904922 401857383 535809844 669762305 803714766 1071619688 1339524610 1607429532 2009286915 2143239376 2679049220 3214859064 4018573830 4286478752 5358098440 6429718128 8037147660 8572957504 10716196880 12859436256 16074295320 17145915008 21432393760 25718872512 32148590640 34291830016 42864787520 51437745024 64297181280 85729575040 102875490048 128594362560 171459150080 257188725120 514377450240