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1402202142024 = 233713136174261
BaseRepresentation
bin10100011001111001110…
…000101011010101001000
311222001022212201012102120
4110121321300223111020
5140433202222021044
62552055054131240
7203206606360125
oct24317160532510
94861285635376
101402202142024
114a0741610182
121a790a7b0b20
13a22c4c084a8
144bc1cc8374c
152671b651519
hex14679c2b548

1402202142024 has 128 divisors (see below), whose sum is σ = 3572854375680. Its totient is φ = 458493235200.

The previous prime is 1402202141981. The next prime is 1402202142043. The reversal of 1402202142024 is 4202412022041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1402202141985 and 1402202142003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329076054 + ... + 329080314.

It is an arithmetic number, because the mean of its divisors is an integer number (27912924810).

Almost surely, 21402202142024 is an apocalyptic number.

It is an amenable number.

1402202142024 is an abundant number, since it is smaller than the sum of its proper divisors (2170652233656).

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

1402202142024 is a wasteful number, since it uses less digits than its factorization.

1402202142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5271 (or 5267 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1402202142024 its reverse (4202412022041), we get a palindrome (5604614164065).

The spelling of 1402202142024 in words is "one trillion, four hundred two billion, two hundred two million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 313 426 568 617 626 852 939 1234 1252 1704 1851 1878 2468 2504 3702 3756 4261 4936 7404 7512 8522 12783 14808 17044 22223 25566 34088 43807 44446 51132 66669 87614 88892 102264 131421 133338 175228 177784 193121 262842 266676 302531 350456 386242 525684 533352 579363 605062 772484 907593 1051368 1158726 1210124 1333693 1544968 1815186 2317452 2420248 2629037 2667386 3630372 4001079 4634904 5258074 5334772 7260744 7887111 8002158 10516148 10669544 13711591 15774222 16004316 21032296 27423182 31548444 32008632 41134773 54846364 63096888 82269546 94692203 109692728 164539092 186661627 189384406 284076609 329078184 373323254 378768812 559984881 568153218 746646508 757537624 822888581 1119969762 1136306436 1493293016 1645777162 2239939524 2272612872 2468665743 3291554324 4479879048 4937331486 6583108648 9874662972 19749325944 58425089251 116850178502 175275267753 233700357004 350550535506 467400714008 701101071012 1402202142024