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70414276401 = 3372312237699
BaseRepresentation
bin100000110010100000…
…1001001011100110001
320201202021212212021000
41001211001021130301
52123202023321101
652203050152213
75041634321400
oct1014501113461
9221667785230
1070414276401
1127954029067
1211791722669
136842217111
14359da55637
151c71b94486
hex1065049731

70414276401 has 96 divisors (see below), whose sum is σ = 125841408000. Its totient is φ = 38759122080.

The previous prime is 70414276399. The next prime is 70414276441. The reversal of 70414276401 is 10467241407.

It is a happy number.

70414276401 is a `hidden beast` number, since 7 + 0 + 4 + 1 + 4 + 2 + 7 + 640 + 1 = 666.

It is not a de Polignac number, because 70414276401 - 21 = 70414276399 is a prime.

It is a super-3 number, since 3×704142764013 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (70414276441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9142050 + ... + 9149748.

It is an arithmetic number, because the mean of its divisors is an integer number (1310848000).

Almost surely, 270414276401 is an apocalyptic number.

It is an amenable number.

70414276401 is a deficient number, since it is larger than the sum of its proper divisors (55427131599).

70414276401 is a wasteful number, since it uses less digits than its factorization.

70414276401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7976 (or 7963 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 70414276401 in words is "seventy billion, four hundred fourteen million, two hundred seventy-six thousand, four hundred one".

Divisors: 1 3 7 9 21 27 31 49 63 93 147 189 217 223 279 441 651 669 837 1323 1519 1561 1953 2007 4557 4683 5859 6021 6913 7699 10927 13671 14049 20739 23097 32781 41013 42147 48391 53893 62217 69291 98343 145173 161679 186651 207873 238669 295029 338737 377251 435519 485037 716007 1016211 1131753 1306557 1455111 1670683 1716877 2148021 3048633 3395259 5012049 5150631 6444063 9145899 10185777 11694781 12018139 15036147 15451893 35084343 36054417 45108441 46355679 53223187 84126973 105253029 108163251 159669561 252380919 315759087 324489753 372562309 479008683 757142757 1117686927 1437026049 2271428271 2607936163 3353060781 7823808489 10059182343 23471425467 70414276401