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1402040100 = 2235231413677
BaseRepresentation
bin101001110010001…
…0110111100100100
310121201012000110010
41103210112330210
510332410240400
6351042330220
746513100316
oct12344267444
93551160403
101402040100
1165a46252a
12331659970
13194614236
14d42c37b6
1583149450
hex53916f24

1402040100 has 144 divisors (see below), whose sum is σ = 4290725376. Its totient is φ = 352896000.

The previous prime is 1402040093. The next prime is 1402040137. The reversal of 1402040100 is 10402041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379462 + ... + 383138.

It is an arithmetic number, because the mean of its divisors is an integer number (29796704).

Almost surely, 21402040100 is an apocalyptic number.

1402040100 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 1402040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145362688).

1402040100 is an abundant number, since it is smaller than the sum of its proper divisors (2888685276).

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

1402040100 is a wasteful number, since it uses less digits than its factorization.

1402040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1402040100 is about 37443.8259263126. The cubic root of 1402040100 is about 1119.2320681856.

Adding to 1402040100 its reverse (10402041), we get a palindrome (1412442141).

The spelling of 1402040100 in words is "one billion, four hundred two million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 41 50 60 62 75 82 93 100 123 124 150 155 164 186 205 246 300 310 372 410 465 492 615 620 775 820 930 1025 1230 1271 1550 1860 2050 2325 2460 2542 3075 3100 3677 3813 4100 4650 5084 6150 6355 7354 7626 9300 11031 12300 12710 14708 15252 18385 19065 22062 25420 31775 36770 38130 44124 55155 63550 73540 76260 91925 95325 110310 113987 127100 150757 183850 190650 220620 227974 275775 301514 341961 367700 381300 452271 455948 551550 569935 603028 683922 753785 904542 1103100 1139870 1367844 1507570 1709805 1809084 2261355 2279740 2849675 3015140 3419610 3768925 4522710 4673467 5699350 6839220 7537850 8549025 9045420 9346934 11306775 11398700 14020401 15075700 17098050 18693868 22613550 23367335 28040802 34196100 45227100 46734670 56081604 70102005 93469340 116836675 140204010 233673350 280408020 350510025 467346700 701020050 1402040100