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21142002672 = 2433717411259
BaseRepresentation
bin10011101100001010…
…010101101111110000
32000120102102000102000
4103230022111233300
5321244323041142
613413522254000
71345630025520
oct235412255760
960512360360
1021142002672
118a6a12258a
1241204b7300
131cbc17386b
141047c39680
1583b14c14c
hex4ec295bf0

21142002672 has 160 divisors (see below), whose sum is σ = 73434585600. Its totient is φ = 5685230592.

The previous prime is 21142002671. The next prime is 21142002719. The reversal of 21142002672 is 27620024112.

21142002672 is a `hidden beast` number, since 211 + 420 + 0 + 26 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21142002671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154222 + ... + 257037.

It is an arithmetic number, because the mean of its divisors is an integer number (458966160).

Almost surely, 221142002672 is an apocalyptic number.

It is an amenable number.

21142002672 is an abundant number, since it is smaller than the sum of its proper divisors (52292582928).

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

21142002672 is a wasteful number, since it uses less digits than its factorization.

21142002672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411300 (or 411288 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 21142002672 its reverse (27620024112), we get a palindrome (48762026784).

The spelling of 21142002672 in words is "twenty-one billion, one hundred forty-two million, two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 25704 51408 411259 822518 1233777 1645036 2467554 2878813 3290072 3701331 4935108 5757626 6580144 6991403 7402662 8636439 9870216 11103993 11515252 13982806 14805324 17272878 19740432 20974209 22207986 23030504 25909317 27965612 29610648 34545756 41948418 44415972 46061008 48939821 51818634 55931224 59221296 62922627 69091512 77727951 83896836 88831944 97879642 103637268 111862448 125845254 138183024 146819463 155455902 167793672 177663888 188767881 195759284 207274536 251690508 293638926 310911804 335587344 377535762 391518568 414549072 440458389 503381016 587277852 621823608 755071524 783037136 880916778 1006762032 1174555704 1243647216 1321375167 1510143048 1761833556 2349111408 2642750334 3020286096 3523667112 5285500668 7047334224 10571001336 21142002672