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40080276090 = 23351393373169
BaseRepresentation
bin100101010100111110…
…000111101001111010
310211110021002222121000
4211110332013221322
51124041022313330
630225043225430
72616140503611
oct452476075172
9124407088530
1040080276090
1115aa82a8718
127926978276
133a198ab4ca
141d23106878
151098a92560
hex954f87a7a

40080276090 has 128 divisors (see below), whose sum is σ = 108003168000. Its totient is φ = 10576355328.

The previous prime is 40080276053. The next prime is 40080276107. The reversal of 40080276090 is 9067208004.

40080276090 is a `hidden beast` number, since 40 + 0 + 8 + 0 + 2 + 7 + 609 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12646026 + ... + 12649194.

It is an arithmetic number, because the mean of its divisors is an integer number (843774750).

Almost surely, 240080276090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40080276090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54001584000).

40080276090 is an abundant number, since it is smaller than the sum of its proper divisors (67922891910).

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

40080276090 is a wasteful number, since it uses less digits than its factorization.

40080276090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3655 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 40080276090 in words is "forty billion, eighty million, two hundred seventy-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 139 270 278 337 417 674 695 834 1011 1251 1390 1685 2022 2085 2502 3033 3169 3370 3753 4170 5055 6066 6255 6338 7506 9099 9507 10110 12510 15165 15845 18198 18765 19014 28521 30330 31690 37530 45495 46843 47535 57042 85563 90990 93686 95070 140529 142605 171126 234215 281058 285210 421587 427815 440491 468430 702645 843174 855630 880982 1067953 1264761 1321473 1405290 2107935 2135906 2202455 2529522 2642946 3203859 3964419 4215870 4404910 5339765 6323805 6407718 6607365 7928838 9611577 10679530 11893257 12647610 13214730 16019295 19223154 19822095 23786514 28834731 32038590 39644190 48057885 57669462 59466285 96115770 118932570 144173655 148445467 288347310 296890934 445336401 742227335 890672802 1336009203 1484454670 2226682005 2672018406 4008027609 4453364010 6680046015 8016055218 13360092030 20040138045 40080276090