Search a number
-
+
40975061853100 = 225210738374313457
BaseRepresentation
bin10010101000100010000000…
…00000011010001110101100
312101002011210111211022111011
421110101000000122032230
520332313411313244400
6223051403351435004
711426231142044104
oct1124210000321654
9171064714738434
1040975061853100
1112068476220101
1247192a9385a64
1319b2c160a535b
14a192bc87a204
154b0cc6e2c8ba
hex25444001a3ac

40975061853100 has 144 divisors (see below), whose sum is σ = 90109000654848. Its totient is φ = 16171455247360.

The previous prime is 40975061853073. The next prime is 40975061853119. The reversal of 40975061853100 is 135816057904.

It is a super-2 number, since 2×409750618531002 (a number of 28 digits) contains 22 as substring.

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, 3044881572 + ... + 3044895028.

It is an arithmetic number, because the mean of its divisors is an integer number (625756948992).

Almost surely, 240975061853100 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 40975061853100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45054500327424).

40975061853100 is an abundant number, since it is smaller than the sum of its proper divisors (49133938801748).

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

40975061853100 is a wasteful number, since it uses less digits than its factorization.

40975061853100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14704 (or 14697 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The spelling of 40975061853100 in words is "forty trillion, nine hundred seventy-five billion, sixty-one million, eight hundred fifty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 214 383 428 535 743 766 1070 1486 1532 1915 2140 2675 2972 3715 3830 5350 7430 7660 9575 10700 13457 14860 18575 19150 26914 37150 38300 40981 53828 67285 74300 79501 81962 134570 159002 163924 204905 269140 284569 318004 336425 397505 409810 569138 672850 795010 819620 1024525 1138276 1345700 1422845 1439899 1590020 1987525 2049050 2845690 2879798 3975050 4098100 5154031 5691380 5759596 7114225 7199495 7950100 9998551 10308062 14228450 14398990 19997102 20616124 25770155 28456900 28797980 30448883 35997475 39994204 49992755 51540310 60897766 71994950 99985510 103080620 121795532 128850775 143989900 152244415 199971020 249963775 257701550 304488830 499927550 515403100 551481317 608977660 761222075 999855100 1069844957 1102962634 1522444150 2139689914 2205925268 2757406585 3044888300 3829445033 4279379828 5349224785 5514813170 7658890066 10698449570 11029626340 13787032925 15317780132 19147225165 21396899140 26746123925 27574065850 38294450330 53492247850 55148131700 76588900660 95736125825 106984495700 191472251650 382944503300 409750618531 819501237062 1639002474124 2048753092655 4097506185310 8195012370620 10243765463275 20487530926550 40975061853100