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40468070300 = 225272910918289
BaseRepresentation
bin100101101100000101…
…011011111110011100
310212110021210222020112
4211230011123332130
51130334311222200
630331335105152
72631556631150
oct455405337634
9125407728215
1040468070300
11161871971a9
127a148121b8
133a7c038238
141d5c811060
1510bcb44535
hex96c15bf9c

40468070300 has 144 divisors (see below), whose sum is σ = 104779752000. Its totient is φ = 13272698880.

The previous prime is 40468070267. The next prime is 40468070351. The reversal of 40468070300 is 307086404.

It is a happy 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, 2203556 + ... + 2221844.

Almost surely, 240468070300 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 40468070300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52389876000).

40468070300 is an abundant number, since it is smaller than the sum of its proper divisors (64311681700).

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

40468070300 is a wasteful number, since it uses less digits than its factorization.

40468070300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18448 (or 18441 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 40468070300 in words is "forty billion, four hundred sixty-eight million, seventy thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 109 116 140 145 175 203 218 290 350 406 436 545 580 700 725 763 812 1015 1090 1450 1526 2030 2180 2725 2900 3052 3161 3815 4060 5075 5450 6322 7630 10150 10900 12644 15260 15805 18289 19075 20300 22127 31610 36578 38150 44254 63220 73156 76300 79025 88508 91445 110635 128023 158050 182890 221270 256046 316100 365780 442540 457225 512092 530381 553175 640115 914450 1060762 1106350 1280230 1828900 1993501 2121524 2212700 2560460 2651905 3200575 3712667 3987002 5303810 6401150 7425334 7974004 9967505 10607620 12802300 13259525 13954507 14850668 18563335 19935010 26519050 27909014 37126670 39870020 49837525 53038100 55818028 57811529 69772535 74253340 92816675 99675050 115623058 139545070 185633350 199350100 231246116 279090140 289057645 348862675 371266700 404680703 578115290 697725350 809361406 1156230580 1395450700 1445288225 1618722812 2023403515 2890576450 4046807030 5781152900 8093614060 10117017575 20234035150 40468070300