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241642214496 = 2534106387701
BaseRepresentation
bin1110000100001011111…
…1111001010001100000
3212002201110110100210000
43201002333321101200
512424340401330441
6303001531140000
723313055635114
oct3410277712140
9762643410700
10241642214496
1193530804301
123a9b95a4600
1319a2c697c97
14b9a4811744
1564441e82b6
hex3842ff9460

241642214496 has 120 divisors (see below), whose sum is σ = 711339696144. Its totient is φ = 80470713600.

The previous prime is 241642214483. The next prime is 241642214507. The reversal of 241642214496 is 694412246142.

241642214496 is a `hidden beast` number, since 2 + 416 + 4 + 2 + 2 + 144 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2711446 + ... + 2799146.

Almost surely, 2241642214496 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 241642214496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355669848072).

241642214496 is an abundant number, since it is smaller than the sum of its proper divisors (469697481648).

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

241642214496 is a wasteful number, since it uses less digits than its factorization.

241642214496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88786 (or 88769 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 241642214496 in words is "two hundred forty-one billion, six hundred forty-two million, two hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1063 1296 2126 2592 3189 4252 6378 8504 9567 12756 17008 19134 25512 28701 34016 38268 51024 57402 76536 86103 87701 102048 114804 153072 172206 175402 229608 263103 306144 344412 350804 459216 526206 688824 701608 789309 918432 1052412 1377648 1403216 1578618 2104824 2367927 2755296 2806432 3157236 4209648 4735854 6314472 7103781 8419296 9471708 12628944 14207562 18943416 25257888 28415124 37886832 56830248 75773664 93226163 113660496 186452326 227320992 279678489 372904652 559356978 745809304 839035467 1118713956 1491618608 1678070934 2237427912 2517106401 2983237216 3356141868 4474855824 5034212802 6712283736 7551319203 8949711648 10068425604 13424567472 15102638406 20136851208 26849134944 30205276812 40273702416 60410553624 80547404832 120821107248 241642214496