Search a number
-
+
400013200142430 = 2357112316571023653
BaseRepresentation
bin101101011110011110101010…
…0101100110011000001011110
31221110022212222200122211101220
41122330331110230303001132
5404412304013214024210
63534431305515514210
7150154000000166520
oct13274752454630136
91843285880584356
10400013200142430
11106502711181016
1238a452a3458966
1314228110226814
1470aca567d1a10
15313a3dbe16c70
hex16bcf54b3305e

400013200142430 has 128 divisors (see below), whose sum is σ = 1098819881376768. Its totient is φ = 91294952297472.

The previous prime is 400013200142341. The next prime is 400013200142483. The reversal of 400013200142430 is 34241002310004.

It is a self number, because there is not a number n which added to its sum of digits gives 400013200142430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390258484 + ... + 391282136.

It is an arithmetic number, because the mean of its divisors is an integer number (8584530323256).

Almost surely, 2400013200142430 is an apocalyptic number.

400013200142430 is an abundant number, since it is smaller than the sum of its proper divisors (698806681234338).

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

400013200142430 is a wasteful number, since it uses less digits than its factorization.

400013200142430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026450.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 400013200142430 its reverse (34241002310004), we get a palindrome (434254202452434).

The spelling of 400013200142430 in words is "four hundred trillion, thirteen billion, two hundred million, one hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 1123 1657 2246 3314 3369 4971 5615 6738 7861 8285 9942 11230 11599 15722 16570 16845 23198 23583 24855 33690 34797 39305 47166 49710 57995 69594 78610 115990 117915 173985 235830 347970 1023653 1860811 2047306 3070959 3721622 5118265 5582433 6141918 7165571 9304055 10236530 11164866 13025677 14331142 15354795 18608110 21496713 26051354 27912165 30709590 35827855 39077031 42993426 55824330 65128385 71655710 78154062 107483565 130256770 195385155 214967130 390770310 1149562319 1696193021 2299124638 3392386042 3448686957 5088579063 5747811595 6897373914 8046936233 8480965105 10177158126 11495623190 11873351147 16093872466 16961930210 17243434785 23746702294 24140808699 25442895315 34486869570 35620053441 40234681165 48281617398 50885790630 59366755735 71240106882 80469362330 118733511470 120704043495 178100267205 241408086990 356200534410 1904824762583 3809649525166 5714474287749 9524123812915 11428948575498 13333773338081 19048247625830 26667546676162 28572371438745 40001320014243 57144742877490 66668866690405 80002640028486 133337733380810 200006600071215 400013200142430