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400244000242416 = 24311279872310563
BaseRepresentation
bin101101100000001010001000…
…1011101010011101011110000
31221111010221201112202201010020
41123000110101131103223300
5404430044203030224131
63535125315543003440
7150206450304523431
oct13300242135235360
91844127645681106
10400244000242416
11106591588885200
1238a81b75a39580
1314243b025c7315
1470b9cad2b1488
1531413e935b996
hex16c0511753af0

400244000242416 has 120 divisors (see below), whose sum is σ = 1150891665719040. Its totient is φ = 119750793951360.

The previous prime is 400244000242393. The next prime is 400244000242421. The reversal of 400244000242416 is 614242000442004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 435696450 + ... + 436614113.

It is an arithmetic number, because the mean of its divisors is an integer number (9590763880992).

Almost surely, 2400244000242416 is an apocalyptic number.

It is an amenable number.

400244000242416 is an abundant number, since it is smaller than the sum of its proper divisors (750647665476624).

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

400244000242416 is a wasteful number, since it uses less digits than its factorization.

400244000242416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872310675 (or 872310658 counting only the distinct ones).

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

The spelling of 400244000242416 in words is "four hundred trillion, two hundred forty-four billion, two hundred forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 121 132 158 176 237 242 264 316 363 474 484 528 632 726 869 948 968 1264 1452 1738 1896 1936 2607 2904 3476 3792 5214 5808 6952 9559 10428 13904 19118 20856 28677 38236 41712 57354 76472 114708 152944 229416 458832 872310563 1744621126 2616931689 3489242252 5233863378 6978484504 9595416193 10467726756 13956969008 19190832386 20935453512 28786248579 38381664772 41870907024 57572497158 68912534477 76763329544 105549578123 115144994316 137825068954 153526659088 206737603431 211099156246 230289988632 275650137908 316648734369 413475206862 422198312492 460579977264 551300275816 633297468738 758037879247 826950413724 844396624984 1102600551632 1266594937476 1516075758494 1653900827448 1688793249968 2274113637741 2533189874952 3032151516988 3307801654896 4548227275482 5066379749904 6064303033976 8338416671717 9096454550964 12128606067952 16676833343434 18192909101928 25015250015151 33353666686868 36385818203856 50030500030302 66707333373736 100061000060604 133414666747472 200122000121208 400244000242416