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149530407404288 = 2823211231152081
BaseRepresentation
bin100001111111111101000010…
…110100010000001100000000
3201121102222010012011021011212
4201333331002310100030000
5124044401233243414123
61250005153145025252
743332133614433331
oct4177750264201400
9647388105137155
10149530407404288
1143710542803759
121492bbb2a85228
136558870317a71
1428cd44b7b2288
15124496809c878
hex87ff42d10300

149530407404288 has 144 divisors (see below), whose sum is σ = 313071465165312. Its totient is φ = 71143446528000.

The previous prime is 149530407404281. The next prime is 149530407404299. The reversal of 149530407404288 is 882404704035941.

It is not an unprimeable number, because it can be changed into a prime (149530407404281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2871086408 + ... + 2871138488.

Almost surely, 2149530407404288 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 149530407404288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156535732582656).

149530407404288 is an abundant number, since it is smaller than the sum of its proper divisors (163541057761024).

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

149530407404288 is a wasteful number, since it uses less digits than its factorization.

149530407404288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54642 (or 54628 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 59.

The spelling of 149530407404288 in words is "one hundred forty-nine trillion, five hundred thirty billion, four hundred seven million, four hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 211 256 368 422 736 844 1472 1688 2311 2944 3376 4622 4853 5888 6752 9244 9706 13504 18488 19412 27008 36976 38824 52081 53153 54016 73952 77648 104162 106306 147904 155296 208324 212612 295808 310592 416648 425224 487621 591616 621184 833296 850448 975242 1197863 1242368 1666592 1700896 1950484 2395726 3333184 3401792 3900968 4791452 6666368 6803584 7801936 9582904 10989091 11215283 13332736 13607168 15603872 19165808 21978182 22430566 31207744 38331616 43956364 44861132 62415488 76663232 87912728 89722264 120359191 124830976 153326464 175825456 179444528 240718382 252749093 306652928 351650912 358889056 481436764 505498186 703301824 717778112 962873528 1010996372 1406603648 1435556224 1925747056 2021992744 2768261393 2813207296 2871112448 3851494112 4043985488 5536522786 7702988224 8087970976 11073045572 15405976448 16175941952 22146091144 25395789301 30811952896 32351883904 44292182288 50791578602 64703767808 88584364576 101583157204 177168729152 203166314408 354337458304 406332628816 584103153923 708674916608 812665257632 1168206307846 1625330515264 2336412615692 3250661030528 4672825231384 6501322061056 9345650462768 18691300925536 37382601851072 74765203702144 149530407404288