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40634503980 = 22357172334771
BaseRepresentation
bin100101110110000000…
…010101001100101100
310212212212222200022220
4211312000111030230
51131204413111410
630400042235340
72635650404430
oct456600251454
9125785880286
1040634503980
11162621332a4
127a604b5b50
133aa766c1c5
141d769769c0
1510cc56d070
hex97601532c

40634503980 has 144 divisors (see below), whose sum is σ = 138129605376. Its totient is φ = 8741514240.

The previous prime is 40634503927. The next prime is 40634504017. The reversal of 40634503980 is 8930543604.

It is a super-3 number, since 3×406345039803 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 46006 + ... + 288765.

Almost surely, 240634503980 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 40634503980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69064802688).

40634503980 is an abundant number, since it is smaller than the sum of its proper divisors (97495101396).

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

40634503980 is a wasteful number, since it uses less digits than its factorization.

40634503980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334824 (or 334805 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 40634503980 in words is "forty billion, six hundred thirty-four million, five hundred three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 289 340 357 420 476 510 578 595 714 867 1020 1156 1190 1428 1445 1734 1785 2023 2380 2890 3468 3570 4046 4335 5780 6069 7140 8092 8670 10115 12138 17340 20230 24276 30345 40460 60690 121380 334771 669542 1004313 1339084 1673855 2008626 2343397 3347710 4017252 4686794 5021565 5691107 6695420 7030191 9373588 10043130 11382214 11716985 14060382 17073321 20086260 22764428 23433970 28120764 28455535 34146642 35150955 39837749 46867940 56911070 68293284 70301910 79675498 85366605 96748819 113822140 119513247 140603820 159350996 170733210 193497638 199188745 239026494 290246457 341466420 386995276 398377490 478052988 483744095 580492914 597566235 677241733 796754980 967488190 1160985828 1195132470 1354483466 1451232285 1934976380 2031725199 2390264940 2708966932 2902464570 3386208665 4063450398 5804929140 6772417330 8126900796 10158625995 13544834660 20317251990 40634503980