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1400202013120 = 265157264710529
BaseRepresentation
bin10100011000000010100…
…010110010100111000000
311221212011111010010101021
4110120002202302213000
5140420103203404440
62551124404315224
7203106211510411
oct24300242624700
94855144103337
101400202013120
1149a905595789
121a74509a2b14
13a2066717571
144baad393808
1526650c6584a
hex146028b29c0

1400202013120 has 112 divisors (see below), whose sum is σ = 3357054642240. Its totient is φ = 556250333184.

The previous prime is 1400202013079. The next prime is 1400202013157. The reversal of 1400202013120 is 213102020041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1400202013094 and 1400202013103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132980016 + ... + 132990544.

Almost surely, 21400202013120 is an apocalyptic number.

1400202013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400202013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678527321120).

1400202013120 is an abundant number, since it is smaller than the sum of its proper divisors (1956852629120).

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

1400202013120 is a wasteful number, since it uses less digits than its factorization.

1400202013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13350 (or 13340 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 1400202013120 its reverse (213102020041), we get a palindrome (1613304033161).

The spelling of 1400202013120 in words is "one trillion, four hundred billion, two hundred two million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 157 160 314 320 628 785 1256 1570 2512 2647 3140 5024 5294 6280 10048 10529 10588 12560 13235 21058 21176 25120 26470 42116 42352 50240 52645 52940 84232 84704 105290 105880 168464 169408 210580 211760 336928 415579 421160 423520 673856 831158 842320 847040 1653053 1662316 1684640 2077895 3306106 3324632 3369280 4155790 6612212 6649264 8265265 8311580 13224424 13298528 16530530 16623160 26448848 26597056 27870263 33061060 33246320 52897696 55740526 66122120 66492640 105795392 111481052 132244240 132985280 139351315 222962104 264488480 278702630 445924208 528976960 557405260 891848416 1114810520 1783696832 2229621040 4375631291 4459242080 8751262582 8918484160 17502525164 21878156455 35005050328 43756312910 70010100656 87512625820 140020201312 175025251640 280040402624 350050503280 700101006560 1400202013120