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10214021414432 = 2511231637739959
BaseRepresentation
bin1001010010100010001100…
…0111100011111000100000
31100011110011201021120222102
42110220203013203320200
52314321303440230212
633420131234425532
72102636654346503
oct224504307437040
940143151246872
1010214021414432
11328881889a430
12118b6671322a8
13591241343714
1427450b49d13a
1512aa5432a5c2
hex94a231e3e20

10214021414432 has 96 divisors (see below), whose sum is σ = 23031148815360. Its totient is φ = 4413633649920.

The previous prime is 10214021414431. The next prime is 10214021414473. The reversal of 10214021414432 is 23441412041201.

It is a junction number, because it is equal to n+sod(n) for n = 10214021414395 and 10214021414404.

It is not an unprimeable number, because it can be changed into a prime (10214021414431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2550332 + ... + 5189627.

It is an arithmetic number, because the mean of its divisors is an integer number (239907800160).

Almost surely, 210214021414432 is an apocalyptic number.

It is an amenable number.

10214021414432 is an abundant number, since it is smaller than the sum of its proper divisors (12817127400928).

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

10214021414432 is a wasteful number, since it uses less digits than its factorization.

10214021414432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7740166 (or 7740158 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 10214021414432 its reverse (23441412041201), we get a palindrome (33655433455633).

The spelling of 10214021414432 in words is "ten trillion, two hundred fourteen billion, twenty-one million, four hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 163 176 184 253 326 352 368 506 652 736 1012 1304 1793 2024 2608 3586 3749 4048 5216 7172 7498 8096 14344 14996 28688 29992 41239 57376 59984 82478 119968 164956 329912 659824 1319648 7739959 15479918 30959836 61919672 85139549 123839344 170279098 178019057 247678688 340558196 356038114 681116392 712076228 1261613317 1362232784 1424152456 1958209627 2523226634 2724465568 2848304912 3916419254 5046453268 5696609824 7832838508 10092906536 13877746487 15665677016 20185813072 27755492974 29017106291 31331354032 40371626144 55510985948 58034212582 62662708064 111021971896 116068425164 222043943792 232136850328 319188169201 444087887584 464273700656 638376338402 928547401312 1276752676804 2553505353608 5107010707216 10214021414432