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140471408 = 247111719353
BaseRepresentation
bin10000101111101…
…10110001110000
3100210022200112202
420113312301300
5241430041113
621534442332
73323662430
oct1027666160
9323280482
10140471408
1172324280
123b0633a8
1323143a9c
14149282c0
15c4eb258
hex85f6c70

140471408 has 160 divisors (see below), whose sum is σ = 379261440. Its totient is φ = 48660480.

The previous prime is 140471393. The next prime is 140471413. The reversal of 140471408 is 804174041.

140471408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397760 + ... + 398112.

It is an arithmetic number, because the mean of its divisors is an integer number (2370384).

Almost surely, 2140471408 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 140471408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189630720).

140471408 is an abundant number, since it is smaller than the sum of its proper divisors (238790032).

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

140471408 is a wasteful number, since it uses less digits than its factorization.

140471408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 140471408 is about 11852.0634490370. The cubic root of 140471408 is about 519.8315628031.

The spelling of 140471408 in words is "one hundred forty million, four hundred seventy-one thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 16 17 19 22 28 34 38 44 56 68 76 77 88 112 119 133 136 152 154 176 187 209 238 266 272 304 308 323 353 374 418 476 532 616 646 706 748 836 952 1064 1232 1292 1309 1412 1463 1496 1672 1904 2128 2261 2471 2584 2618 2824 2926 2992 3344 3553 3883 4522 4942 5168 5236 5648 5852 6001 6707 7106 7766 9044 9884 10472 11704 12002 13414 14212 15532 18088 19768 20944 23408 24004 24871 26828 27181 28424 31064 36176 39536 42007 46949 48008 49742 53656 54362 56848 62128 66011 73777 84014 93898 96016 99484 107312 108724 114019 132022 147554 168028 187796 198968 217448 228038 264044 295108 336056 375592 397936 434896 456076 462077 516439 528088 590216 672112 751184 798133 912152 924154 1032878 1056176 1180432 1254209 1596266 1824304 1848308 2065756 2508418 3192532 3696616 4131512 5016836 6385064 7393232 8263024 8779463 10033672 12770128 17558926 20067344 35117852 70235704 140471408