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1378140424542 = 23374997619601
BaseRepresentation
bin10100000011011111100…
…100100000100101011110
311212202012222100022021000
4110003133210200211132
5140034412422041132
62533035312051130
7201365414220240
oct24033744404536
94782188308230
101378140424542
11491514383752
121a3114533aa6
139cc5bbb053b
144a9b9380090
1525cae01d87c
hex140df92095e

1378140424542 has 128 divisors (see below), whose sum is σ = 3512027520000. Its totient is φ = 392408064000.

The previous prime is 1378140424517. The next prime is 1378140424559. The reversal of 1378140424542 is 2454240418731.

1378140424542 is a `hidden beast` number, since 1 + 3 + 7 + 81 + 4 + 0 + 4 + 24 + 542 = 666.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 143536542 + ... + 143546142.

It is an arithmetic number, because the mean of its divisors is an integer number (27437715000).

Almost surely, 21378140424542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1378140424542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756013760000).

1378140424542 is an abundant number, since it is smaller than the sum of its proper divisors (2133887095458).

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

1378140424542 is a wasteful number, since it uses less digits than its factorization.

1378140424542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10879 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 1378140424542 in words is "one trillion, three hundred seventy-eight billion, one hundred forty million, four hundred twenty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 499 761 998 1497 1522 2283 2994 3493 4491 4566 5327 6849 6986 8982 9601 10479 10654 13473 13698 15981 19202 20547 20958 26946 28803 31437 31962 41094 47943 57606 62874 67207 86409 94311 95886 134414 143829 172818 188622 201621 259227 287658 379739 403242 518454 604863 759478 1139217 1209726 1814589 2278434 2658173 3417651 3629178 4790899 5316346 6835302 7306361 7974519 9581798 10252953 14372697 14612722 15949038 20505906 21919083 23923557 28745394 33536293 43118091 43838166 47847114 51144527 65757249 67072586 71770671 86236182 100608879 102289054 129354273 131514498 143541342 153433581 197271747 201217758 258708546 301826637 306867162 394543494 460300743 603653274 905479911 920601486 1380902229 1810959822 2761804458 3645874139 7291748278 10937622417 21875244834 25521118973 32812867251 51042237946 65625734502 76563356919 98438601753 153126713838 196877203506 229690070757 459380141514 689070212271 1378140424542