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144102145406562 = 232722917159328331
BaseRepresentation
bin100000110000111101100101…
…001100000011011001100010
3200220020000211021112112022100
4200300331211030003121202
5122341432143211002222
61230251340043351230
742232015332651300
oct4060754514033142
9626200737475270
10144102145406562
1141a0841638a692
12141b3b64b22516
136253a0a6440b5
14278281c597270
15119d662c174ac
hex830f65303662

144102145406562 has 144 divisors (see below), whose sum is σ = 375743272132800. Its totient is φ = 39749878203840.

The previous prime is 144102145406551. The next prime is 144102145406599. The reversal of 144102145406562 is 265604541201441.

144102145406562 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 0 + 2 + 1 + 45 + 40 + 6 + 562 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 438728737 + ... + 439057067.

It is an arithmetic number, because the mean of its divisors is an integer number (2609328278700).

Almost surely, 2144102145406562 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144102145406562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187871636066400).

144102145406562 is an abundant number, since it is smaller than the sum of its proper divisors (231641126726238).

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

144102145406562 is a wasteful number, since it uses less digits than its factorization.

144102145406562 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345541 (or 345531 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 144102145406562 in words is "one hundred forty-four trillion, one hundred two billion, one hundred forty-five million, four hundred six thousand, five hundred sixty-two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 406 441 522 609 882 1218 1421 1827 2842 3654 4263 8526 12789 17159 25578 34318 51477 102954 120113 154431 240226 308862 328331 360339 497611 656662 720678 840791 984993 995222 1081017 1492833 1681582 1969986 2162034 2298317 2522373 2954979 2985666 3483277 4478499 4596634 5044746 5909958 6894951 6966554 7567119 8956998 9521599 10449831 13789902 15134238 16088219 19043198 20684853 20899662 24382939 28564797 31349493 32176438 41369706 48264657 48765878 57129594 62698986 66651193 73148817 85694391 96529314 133302386 144793971 146297634 171388782 199953579 219446451 289587942 399907158 438892902 466558351 599860737 933116702 1199721474 1399675053 2799350106 4199025159 5633831629 8398050318 11267663258 16901494887 33802989774 39436821403 50704484661 78873642806 101408969322 118310464209 163381117241 236620928418 276057749821 326762234482 354931392627 490143351723 552115499642 709862785254 828173249463 980286703446 1143667820687 1470430055169 1656346498926 2287335641374 2484519748389 2940860110338 3431003462061 4969039496778 6862006924122 8005674744809 10293010386183 16011349489618 20586020772366 24017024234427 48034048468854 72051072703281 144102145406562