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400241034421224 = 233174192586790511
BaseRepresentation
bin101101100000001000110000…
…0101011100110001111101000
31221111010200001212001101021220
41123000101200223212033220
5404430022114302434344
63535124105355102040
7150206313642462423
oct13300214053461750
91844120055041256
10400241034421224
111065902a6739907
1238a81488741920
131424374c01bb39
1470b9aab4449ba
1531412c3cb9c19
hex16c0460ae63e8

400241034421224 has 128 divisors (see below), whose sum is σ = 1062042899097600. Its totient is φ = 125259908336640.

The previous prime is 400241034421201. The next prime is 400241034421231. The reversal of 400241034421224 is 422124430142004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4421970129 + ... + 4422060639.

It is an arithmetic number, because the mean of its divisors is an integer number (8297210149200).

Almost surely, 2400241034421224 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 400241034421224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531021449548800).

400241034421224 is an abundant number, since it is smaller than the sum of its proper divisors (661801864676376).

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

400241034421224 is a wasteful number, since it uses less digits than its factorization.

400241034421224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116823 (or 116819 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 400241034421224 its reverse (422124430142004), we get a palindrome (822365464563228).

The spelling of 400241034421224 in words is "four hundred trillion, two hundred forty-one billion, thirty-four million, four hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 419 838 1257 1676 2514 3352 5028 7123 10056 14246 21369 25867 28492 42738 51734 56984 77601 85476 90511 103468 155202 170952 181022 206936 271533 310404 362044 439739 543066 620808 724088 879478 1086132 1319217 1538687 1758956 2172264 2638434 3077374 3517912 4616061 5276868 6154748 9232122 10553736 10838273 12309496 18464244 21676546 32514819 36928488 37924109 43353092 65029638 75848218 86706184 113772327 130059276 151696436 184250641 227544654 260118552 303392872 368501282 455089308 552751923 644709853 737002564 910178616 1105503846 1289419706 1474005128 1934129559 2211007692 2341248037 2578839412 3868259118 4422015384 4682496074 5157678824 7023744111 7736518236 9364992148 14047488222 15473036472 18729984296 28094976444 39801216629 56189952888 79602433258 119403649887 159204866516 238807299774 318409733032 477614599548 955229199096 980982927503 1961965855006 2942948782509 3923931710012 5885897565018 7847863420024 11771795130036 16676709767551 23543590260072 33353419535102 50030129302653 66706839070204 100060258605306 133413678140408 200120517210612 400241034421224