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40330334000 = 24531113713381
BaseRepresentation
bin100101100011111000…
…000000111100110000
310212002200122020120002
4211203320000330300
51130044031142000
630305535005132
72625265116455
oct454370007460
9125080566502
1040330334000
1116116470950
1279966697a8
133a59641378
141d483d982c
1510b09d88d5
hex963e00f30

40330334000 has 160 divisors (see below), whose sum is σ = 107168622912. Its totient is φ = 14557440000.

The previous prime is 40330333957. The next prime is 40330334029. The reversal of 40330334000 is 43303304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3007310 + ... + 3020690.

Almost surely, 240330334000 is an apocalyptic number.

40330334000 is a gapful number since it is divisible by the number (40) 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 40330334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53584311456).

40330334000 is an abundant number, since it is smaller than the sum of its proper divisors (66838288912).

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

40330334000 is a wasteful number, since it uses less digits than its factorization.

40330334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13552 (or 13536 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 40330334000 its reverse (43303304), we get a palindrome (40373637304).

The spelling of 40330334000 in words is "forty billion, three hundred thirty million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 137 176 200 220 250 274 275 400 440 500 548 550 685 880 1000 1096 1100 1370 1375 1507 2000 2192 2200 2740 2750 3014 3425 4400 5480 5500 6028 6850 7535 10960 11000 12056 13381 13700 15070 17125 22000 24112 26762 27400 30140 34250 37675 53524 54800 60280 66905 68500 75350 107048 120560 133810 137000 147191 150700 188375 214096 267620 274000 294382 301400 334525 376750 535240 588764 602800 669050 735955 753500 1070480 1177528 1338100 1471910 1507000 1672625 1833197 2355056 2676200 2943820 3014000 3345250 3666394 3679775 5352400 5887640 6690500 7332788 7359550 9165985 11775280 13381000 14665576 14719100 18331970 18398875 20165167 26762000 29331152 29438200 36663940 36797750 40330334 45829925 58876400 73327880 73595500 80660668 91659850 100825835 146655760 147191000 161321336 183319700 201651670 229149625 294382000 322642672 366639400 403303340 458299250 504129175 733278800 806606680 916598500 1008258350 1613213360 1833197000 2016516700 2520645875 3666394000 4033033400 5041291750 8066066800 10082583500 20165167000 40330334000