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424157307093 = 3213174128318379
BaseRepresentation
bin1100010110000011011…
…11101110000011010101
31111112211020210201110100
412023001233232003111
523422133232311333
6522504415044313
742434004423522
oct6130157560325
91445736721410
10424157307093
1115397a818803
126a255510699
1330cc83c44b0
141675a66a149
15b07760e213
hex62c1bee0d5

424157307093 has 96 divisors (see below), whose sum is σ = 718219232640. Its totient is φ = 238814023680.

The previous prime is 424157307061. The next prime is 424157307107. The reversal of 424157307093 is 390703751424.

424157307093 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 573 + 0 + 70 + 9 + 3 = 666.

424157307093 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 424157307093 - 25 = 424157307061 is a prime.

It is a super-2 number, since 2×4241573070932 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424157307023) 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, 23069178 + ... + 23087556.

It is an arithmetic number, because the mean of its divisors is an integer number (7481450340).

Almost surely, 2424157307093 is an apocalyptic number.

It is an amenable number.

424157307093 is a deficient number, since it is larger than the sum of its proper divisors (294061925547).

424157307093 is a wasteful number, since it uses less digits than its factorization.

424157307093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18739 (or 18736 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 424157307093 in words is "four hundred twenty-four billion, one hundred fifty-seven million, three hundred seven thousand, ninety-three".

Divisors: 1 3 9 13 17 39 41 51 117 123 153 221 283 369 533 663 697 849 1599 1989 2091 2547 3679 4797 4811 6273 9061 11037 11603 14433 18379 27183 33111 34809 43299 55137 62543 81549 104427 150839 165411 187629 197251 238927 312443 452517 562887 591753 716781 753539 937329 1357551 1775259 2150343 2260617 2564263 2811987 4061759 5201257 6781851 7692789 9796007 12185277 12810163 15603771 23078367 29388021 36555831 38430489 46811313 67616341 88164063 88421369 115291467 166532119 202849023 213251537 265264107 499596357 608547069 639754611 795792321 1149477797 1498789071 1919263833 2772269981 3448433391 3625276129 8316809943 10345300173 10875828387 24950429829 32627485161 47128589677 141385769031 424157307093