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150418314244 = 22112174612
BaseRepresentation
bin1000110000010110100…
…0010101010000000100
3112101020220121002010201
42030011220111100010
54431024042023434
6153033510300244
713603335401212
oct2140550252004
9471226532121
10150418314244
1158879242900
122519a957684
1311252133a93
1473cd161cb2
153da56ae614
hex2305a15404

150418314244 has 135 divisors (see below), whose sum is σ = 312543405993. Its totient is φ = 63295161600.

The previous prime is 150418314229. The next prime is 150418314271. The reversal of 150418314244 is 442413814051.

The square root of 150418314244 is 387838.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 77193954244 + 73224360000 = 277838^2 + 270600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2465873974 + ... + 2465874034.

Almost surely, 2150418314244 is an apocalyptic number.

150418314244 is the 387838-th square number.

It is an amenable number.

150418314244 is an abundant number, since it is smaller than the sum of its proper divisors (162125091749).

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

150418314244 is an frugal number, since it uses more digits than its factorization.

150418314244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 150418314244 in words is "one hundred fifty billion, four hundred eighteen million, three hundred fourteen thousand, two hundred forty-four".

Divisors: 1 2 4 11 17 22 34 44 61 68 121 122 187 242 244 289 374 484 578 671 748 1037 1156 1342 2057 2074 2684 3179 3721 4114 4148 4913 6358 7381 7442 8228 9826 11407 12716 14762 14884 17629 19652 22814 29524 34969 35258 40931 45628 54043 63257 69938 70516 81862 83521 108086 125477 126514 139876 163724 167042 193919 216172 250954 253028 299693 334084 387838 450241 501908 594473 599386 695827 775676 900482 918731 1075369 1188946 1198772 1391654 1800964 1837462 2133109 2150738 2377892 2783308 3296623 3674924 4266218 4301476 5094781 6593246 7654097 8532436 10106041 10189562 11829059 13186492 15308194 18281273 20212082 20379124 23658118 30616388 36262853 36562546 40424164 47316236 56042591 72525706 73125092 112085182 130119649 145051412 201094003 224170364 260239298 310781641 402188006 520478596 616468501 621563282 804376012 1232937002 1243126564 2212034033 2465874004 3418598051 4424068066 6837196102 8848136132 13674392204 37604578561 75209157122 150418314244