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1401012444444 = 2231719443815933
BaseRepresentation
bin10100011000110010110…
…110010101110100011100
311221221020222002022011020
4110120302312111310130
5140423233141210234
62551341034524140
7203135252201064
oct24306266256434
94857228068136
101401012444444
114a0191000838
121a7638296650
13a21655b0422
144bb48c763a4
152669be9d549
hex14632d95d1c

1401012444444 has 96 divisors (see below), whose sum is σ = 3651728935680. Its totient is φ = 415459519488.

The previous prime is 1401012444439. The next prime is 1401012444467. The reversal of 1401012444444 is 4444442101041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309102 + ... + 2125034.

It is an arithmetic number, because the mean of its divisors is an integer number (38038843080).

Almost surely, 21401012444444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401012444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825864467840).

1401012444444 is an abundant number, since it is smaller than the sum of its proper divisors (2250716491236).

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

1401012444444 is a wasteful number, since it uses less digits than its factorization.

1401012444444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816419 (or 816417 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 1401012444444 its reverse (4444442101041), we get a palindrome (5845454545485).

The spelling of 1401012444444 in words is "one trillion, four hundred one billion, twelve million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 443 646 886 969 1292 1329 1772 1938 2658 3876 5316 7531 8417 15062 16834 22593 25251 30124 33668 45186 50502 90372 101004 143089 286178 429267 572356 815933 858534 1631866 1717068 2447799 3263732 4895598 9791196 13870861 15502727 27741722 31005454 41612583 46508181 55483444 62010908 83225166 93016362 166450332 186032724 263546359 361458319 527092718 722916638 790639077 1054185436 1084374957 1445833276 1581278154 2168749914 3162556308 4337499828 6144791423 6867708061 12289582846 13735416122 18434374269 20603124183 24579165692 27470832244 36868748538 41206248366 73737497076 82412496732 116751037037 233502074074 350253111111 467004148148 700506222222 1401012444444