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34550440144 = 24111724315797
BaseRepresentation
bin100000001011010111…
…011110000011010000
310022011212202012202021
4200023113132003100
51031224403041034
623512223501224
72332122616123
oct401327360320
9108155665667
1034550440144
111371a906070
126842a57814
13334804c42c
14195a9243ba
15d7337c6b4
hex80b5de0d0

34550440144 has 120 divisors (see below), whose sum is σ = 79384570848. Its totient is φ = 14436280320.

The previous prime is 34550440139. The next prime is 34550440157. The reversal of 34550440144 is 44104405543.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 2179254 + ... + 2195050.

Almost surely, 234550440144 is an apocalyptic number.

34550440144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34550440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39692285424).

34550440144 is an abundant number, since it is smaller than the sum of its proper divisors (44834130704).

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

34550440144 is a wasteful number, since it uses less digits than its factorization.

34550440144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15893 (or 15870 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 34550440144 its reverse (44104405543), we get a palindrome (78654845687).

The spelling of 34550440144 in words is "thirty-four billion, five hundred fifty million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 34 43 44 68 86 88 136 172 176 187 272 289 344 374 473 578 688 731 748 946 1156 1462 1496 1892 2312 2924 2992 3179 3784 4624 5848 6358 7568 8041 11696 12427 12716 15797 16082 24854 25432 31594 32164 49708 50864 63188 64328 99416 126376 128656 136697 173767 198832 252752 268549 273394 347534 537098 546788 679271 695068 1074196 1093576 1358542 1390136 2148392 2187152 2717084 2780272 2954039 4296784 4565333 5434168 5908078 7471981 9130666 10868336 11547607 11816156 14943962 18261332 23095214 23632312 29887924 36522664 46190428 47264624 50218663 59775848 73045328 92380856 100437326 119551696 127023677 184761712 196309319 200874652 254047354 392618638 401749304 508094708 785237276 803498608 1016189416 1570474552 2032378832 2159402509 3140949104 4318805018 8637610036 17275220072 34550440144