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4000408601630 = 257297571147401
BaseRepresentation
bin111010001101101010111…
…011110000010000011110
3112011102202100112210222212
4322031222323300100132
51011020314100223010
612301432355440422
7562006566031400
oct72155273602036
915142670483885
104000408601630
111302622402071
125473808b6112
1323031065c24c
14db899702b70
156e0d6cbc505
hex3a36aef041e

4000408601630 has 96 divisors (see below), whose sum is σ = 8477598441312. Its totient is φ = 1355042304000.

The previous prime is 4000408601599. The next prime is 4000408601647. The reversal of 4000408601630 is 361068040004.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27065930 + ... + 27213330.

It is an arithmetic number, because the mean of its divisors is an integer number (88308317097).

Almost surely, 24000408601630 is an apocalyptic number.

4000408601630 is an abundant number, since it is smaller than the sum of its proper divisors (4477189839682).

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

4000408601630 is a wasteful number, since it uses less digits than its factorization.

4000408601630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148090 (or 148083 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 4000408601630 in words is "four trillion, four hundred eight million, six hundred one thousand, six hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 97 98 194 245 485 490 571 679 970 1142 1358 2855 3395 3997 4753 5710 6790 7994 9506 19985 23765 27979 39970 47530 55387 55958 110774 139895 147401 276935 279790 294802 387709 553870 737005 775418 1031807 1474010 1938545 2063614 2713963 3877090 5159035 5427926 7222649 10318070 13569815 14297897 14445298 27139630 28595794 36113245 71489485 72226490 84165971 100085279 142978970 168331942 200170558 420829855 500426395 589161797 700596953 841659710 1000852790 1178323594 1401193906 2945808985 3502984765 4124132579 5891617970 7005969530 8164099187 8248265158 16328198374 20620662895 40820495935 41241325790 57148694309 81640991870 114297388618 285743471545 400040860163 571486943090 800081720326 2000204300815 4000408601630