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242316431356416 = 2931765811410103
BaseRepresentation
bin110111000110001010110000…
…110100000111001000000000
31011202222020001201211100011020
4313012022300310013020000
5223230103022411401131
62215210344244545440
7102016533030132204
oct6706126064071000
91152866051740136
10242316431356416
11702339043627aa
122321666a6b2280
13a5294591725c1
1443ba26c06ab04
151d03316c47996
hexdc62b0d07200

242316431356416 has 160 divisors (see below), whose sum is σ = 683623766314368. Its totient is φ = 76009235742720.

The previous prime is 242316431356303. The next prime is 242316431356427. The reversal of 242316431356416 is 614653134613242.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171138021 + ... + 172548123.

Almost surely, 2242316431356416 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 242316431356416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341811883157184).

242316431356416 is an abundant number, since it is smaller than the sum of its proper divisors (441307334957952).

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

242316431356416 is a wasteful number, since it uses less digits than its factorization.

242316431356416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416722 (or 1416706 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 51.

Adding to 242316431356416 its reverse (614653134613242), we get a palindrome (856969565969658).

The spelling of 242316431356416 in words is "two hundred forty-two trillion, three hundred sixteen billion, four hundred thirty-one million, three hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 4352 6528 6581 8704 13056 13162 19743 26112 26324 39486 52648 78972 105296 111877 157944 210592 223754 315888 335631 421184 447508 631776 671262 842368 895016 1263552 1342524 1410103 1684736 1790032 2527104 2685048 2820206 3369472 3580064 4230309 5054208 5370096 5640412 7160128 8460618 10108416 10740192 11280824 14320256 16921236 21480384 22561648 23971751 28640512 33842472 42960768 45123296 47943502 57281024 67684944 71915253 85921536 90246592 95887004 135369888 143830506 171843072 180493184 191774008 270739776 287661012 360986368 383548016 541479552 575322024 721972736 767096032 1082959104 1150644048 1534192064 2165918208 2301288096 3068384128 4602576192 6136768256 9205152384 9279887843 12273536512 18410304768 18559775686 27839663529 36820609536 37119551372 55679327058 74239102744 111358654116 148478205488 157758093331 222717308232 296956410976 315516186662 445434616464 473274279993 593912821952 631032373324 890869232928 946548559986 1187825643904 1262064746648 1781738465856 1893097119972 2375651287808 2524129493296 3563476931712 3786194239944 4751302575616 5048258986592 7126953863424 7572388479888 10096517973184 14253907726848 15144776959776 20193035946368 30289553919552 40386071892736 60579107839104 80772143785472 121158215678208 242316431356416