Search a number
-
+
400431115121250 = 2354106999889271
BaseRepresentation
bin101101100001100001010001…
…0010111111011001001100010
31221111210211200220102102021210
41123003002202113323021202
5404441130410432340000
63535351303104130550
7150226123215664503
oct13303024227731142
91844724626372253
10400431115121250
111066539782a5134
1238ab2296306a56
1314258652297735
1470c4d7ddacbaa
1531461eb4c2350
hex16c30a25fb262

400431115121250 has 80 divisors (see below), whose sum is σ = 1001693615186880. Its totient is φ = 106681740360000.

The previous prime is 400431115121239. The next prime is 400431115121281. The reversal of 400431115121250 is 52121511134004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45935886 + ... + 53953385.

It is an arithmetic number, because the mean of its divisors is an integer number (12521170189836).

Almost surely, 2400431115121250 is an apocalyptic number.

400431115121250 is an abundant number, since it is smaller than the sum of its proper divisors (601262500065630).

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

400431115121250 is a wasteful number, since it uses less digits than its factorization.

400431115121250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99890365 (or 99890350 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 400431115121250 its reverse (52121511134004), we get a palindrome (452552626255254).

The spelling of 400431115121250 in words is "four hundred trillion, four hundred thirty-one billion, one hundred fifteen million, one hundred twenty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 625 750 1069 1250 1875 2138 3207 3750 5345 6414 10690 16035 26725 32070 53450 80175 133625 160350 267250 400875 668125 801750 1336250 2004375 4008750 99889271 199778542 299667813 499446355 599335626 998892710 1498339065 2497231775 2996678130 4994463550 7491695325 12486158875 14983390650 24972317750 37458476625 62430794375 74916953250 106781630699 124861588750 187292383125 213563261398 320344892097 374584766250 533908153495 640689784194 1067816306990 1601724460485 2669540767475 3203448920970 5339081534950 8008622302425 13347703837375 16017244604850 26695407674750 40043111512125 66738519186875 80086223024250 133477038373750 200215557560625 400431115121250