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423967745340 = 2232519821915083
BaseRepresentation
bin1100010101101100111…
…00100110010100111100
31111112100001002222121200
412022312130212110330
523421241220322330
6522433524055500
742426213242406
oct6126634462474
91445301088550
10423967745340
111538928151a7
126a201b34590
1330c98053389
141673d403b76
15b065b67a60
hex62b672653c

423967745340 has 144 divisors (see below), whose sum is σ = 1353976041600. Its totient is φ = 107087508864.

The previous prime is 423967745293. The next prime is 423967745347. The reversal of 423967745340 is 43547769324.

It is a happy number.

423967745340 is a `hidden beast` number, since 4 + 2 + 39 + 6 + 7 + 74 + 534 + 0 = 666.

It is a super-3 number, since 3×4239677453403 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423967745347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28101439 + ... + 28116521.

It is an arithmetic number, because the mean of its divisors is an integer number (9402611400).

Almost surely, 2423967745340 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 423967745340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676988020800).

423967745340 is an abundant number, since it is smaller than the sum of its proper divisors (930008296260).

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

423967745340 is a wasteful number, since it uses less digits than its factorization.

423967745340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23336 (or 23331 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 423967745340 in words is "four hundred twenty-three billion, nine hundred sixty-seven million, seven hundred forty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 8219 15083 16438 24657 30166 32876 41095 45249 49314 60332 73971 75415 82190 90498 98628 123285 135747 147942 150830 156161 164380 180996 226245 246570 271494 286577 295884 301660 312322 369855 452490 468483 493140 542988 573154 624644 678735 739710 780805 859731 904980 936966 1146308 1357470 1405449 1432885 1479420 1561610 1719462 1873932 2342415 2579193 2714940 2810898 2865770 3123220 3438924 4298655 4684830 5158386 5621796 5731540 7027245 8597310 9369660 10316772 12895965 14054490 17194620 25791930 28108980 51583860 123967177 247934354 371901531 495868708 619835885 743803062 1115704593 1239671770 1487606124 1859507655 2231409186 2355376363 2479343540 3719015310 4462818372 4710752726 5578522965 7066129089 7438030620 9421505452 11157045930 11776881815 14132258178 21198387267 22314091860 23553763630 28264516356 35330645445 42396774534 47107527260 70661290890 84793549068 105991936335 141322581780 211983872670 423967745340