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40450150400 = 212521135911
BaseRepresentation
bin100101101011000001…
…000101000000000000
310212102001002112202112
4211223001011000000
51130320214303100
630325455034452
72631251414432
oct455301050000
9125361075675
1040450150400
1116178067770
127a0a80ba28
133a7840284a
141d5a2a8652
1510bb2a4b35
hex96b045000

40450150400 has 156 divisors (see below), whose sum is σ = 109425731424. Its totient is φ = 14708736000.

The previous prime is 40450150369. The next prime is 40450150409. The reversal of 40450150400 is 405105404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40450150409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1108445 + ... + 1144355.

Almost surely, 240450150400 is an apocalyptic number.

40450150400 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 40450150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54712865712).

40450150400 is an abundant number, since it is smaller than the sum of its proper divisors (68975581024).

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

40450150400 is a wasteful number, since it uses less digits than its factorization.

40450150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35956 (or 35929 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

Adding to 40450150400 its reverse (405105404), we get a palindrome (40855255804).

The spelling of 40450150400 in words is "forty billion, four hundred fifty million, one hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 512 550 640 704 800 880 1024 1100 1280 1408 1600 1760 2048 2200 2560 2816 3200 3520 4096 4400 5120 5632 6400 7040 8800 10240 11264 12800 14080 17600 20480 22528 25600 28160 35200 35911 45056 51200 56320 70400 71822 102400 112640 140800 143644 179555 225280 281600 287288 359110 395021 563200 574576 718220 790042 897775 1126400 1149152 1436440 1580084 1795550 1975105 2298304 2872880 3160168 3591100 3950210 4596608 5745760 6320336 7182200 7900420 9193216 9875525 11491520 12640672 14364400 15800840 18386432 19751050 22983040 25281344 28728800 31601680 36772864 39502100 45966080 50562688 57457600 63203360 73545728 79004200 91932160 101125376 114915200 126406720 147091456 158008400 183864320 202250752 229830400 252813440 316016800 367728640 404501504 459660800 505626880 632033600 735457280 809003008 919321600 1011253760 1264067200 1618006016 1838643200 2022507520 2528134400 3677286400 4045015040 5056268800 8090030080 10112537600 20225075200 40450150400