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1400364706704 = 2431719181499021
BaseRepresentation
bin10100011000001100001…
…111011010101110010000
311221212120211020211000120
4110120030033122232100
5140420421331103304
62551152455350240
7203113225415625
oct24301417325620
94855524224016
101400364706704
1149a989407897
121a7497382380
13a209133c062
144bac6c2434c
15266601a10d9
hex1460c3dab90

1400364706704 has 160 divisors (see below), whose sum is σ = 4054294258560. Its totient is φ = 413907148800.

The previous prime is 1400364706703. The next prime is 1400364706739. The reversal of 1400364706704 is 4076074630041.

It is a super-2 number, since 2×14003647067042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1400364706703) 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, 2556714 + ... + 3055734.

It is an arithmetic number, because the mean of its divisors is an integer number (25339339116).

Almost surely, 21400364706704 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 1400364706704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027147129280).

1400364706704 is an abundant number, since it is smaller than the sum of its proper divisors (2653929551856).

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

1400364706704 is a wasteful number, since it uses less digits than its factorization.

1400364706704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499249 (or 499243 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 1400364706704 in words is "one trillion, four hundred billion, three hundred sixty-four million, seven hundred six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 181 204 228 272 304 323 362 408 456 543 646 724 816 912 969 1086 1292 1448 1938 2172 2584 2896 3077 3439 3876 4344 5168 6154 6878 7752 8688 9231 10317 12308 13756 15504 18462 20634 24616 27512 36924 41268 49232 55024 58463 73848 82536 116926 147696 165072 175389 233852 350778 467704 499021 701556 935408 998042 1403112 1497063 1996084 2806224 2994126 3992168 5988252 7984336 8483357 9481399 11976504 16966714 18962798 23953008 25450071 28444197 33933428 37925596 50900142 56888394 67866856 75851192 90322801 101800284 113776788 135733712 151702384 161183783 180645602 203600568 227553576 270968403 322367566 361291204 407201136 455107152 483551349 541936806 644735132 722582408 967102698 1083873612 1289470264 1445164816 1535487617 1716133219 1934205396 2167747224 2578940528 3070975234 3432266438 3868410792 4335494448 4606462851 5148399657 6141950468 6864532876 7736821584 9212925702 10296799314 12283900936 13729065752 18425851404 20593598628 24567801872 27458131504 29174264723 36851702808 41187197256 58348529446 73703405616 82374394512 87522794169 116697058892 175045588338 233394117784 350091176676 466788235568 700182353352 1400364706704