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140725271675742 = 2313371011313685387
BaseRepresentation
bin11111111111110100100111…
…110101000100001101011110
3200110021012112010212002012120
4133333310213311010031132
5121421120324022110432
61215144144120043410
741433031263564405
oct3777644765041536
9613235463762176
10140725271675742
1140926286184976
1213949600903566
13606a44a775610
1426a71d4a9863c
1511408c202cc2c
hex7ffd27d4435e

140725271675742 has 128 divisors (see below), whose sum is σ = 316774488780288. Its totient is φ = 41394255552000.

The previous prime is 140725271675731. The next prime is 140725271675761. The reversal of 140725271675742 is 247576172527041.

It is a super-2 number, since 2×1407252716757422 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36341973 + ... + 40027359.

It is an arithmetic number, because the mean of its divisors is an integer number (2474800693596).

Almost surely, 2140725271675742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140725271675742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158387244390144).

140725271675742 is an abundant number, since it is smaller than the sum of its proper divisors (176049217104546).

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

140725271675742 is a wasteful number, since it uses less digits than its factorization.

140725271675742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685674.

The product of its (nonzero) digits is 46099200, while the sum is 60.

The spelling of 140725271675742 in words is "one hundred forty trillion, seven hundred twenty-five billion, two hundred seventy-one million, six hundred seventy-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 26 37 39 74 78 101 111 131 202 222 262 303 393 481 606 786 962 1313 1443 1703 2626 2886 3406 3737 3939 4847 5109 7474 7878 9694 10218 11211 13231 14541 22422 26462 29082 39693 48581 63011 79386 97162 126022 145743 172003 189033 291486 344006 378066 489547 516009 979094 1032018 1468641 2937282 3685387 6364111 7370774 11056161 12728222 19092333 22112322 38184666 47910031 95820062 136359319 143730093 272718638 287460186 372224087 409077957 482785697 744448174 818155914 965571394 1116672261 1448357091 1772671147 2233344522 2896714182 3545342294 4838913131 5318013441 6276214061 9677826262 10636026882 12552428122 13772291219 14516739393 17863070789 18828642183 27544582438 29033478786 35726141578 37657284366 41316873657 48761355397 53589212367 82633747314 97522710794 107178424734 146284066191 179039785847 232219920257 292568132382 358079571694 464439840514 537119357541 633897620161 696659760771 1074238715082 1267795240322 1393319521542 1804170149689 1901692860483 3608340299378 3803385720966 5412510449067 10825020898134 23454211945957 46908423891914 70362635837871 140725271675742